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36243265576644 = 223274204772
BaseRepresentation
bin10000011110110100010101…
…11110000101111011000100
311202022211012111100000101100
420033122022332011323010
514222302201441423034
6205025532031500100
710430326623240000
oct1017321276057304
9152284174300340
1036243265576644
1110603756615815
124094230387630
13172b95758c629
148d427d403700
1542cb85721099
hex20f68af85ec4

36243265576644 has 135 divisors (see below), whose sum is σ = 106882935032237. Its totient is φ = 10354713036192.

The previous prime is 36243265576613. The next prime is 36243265576649. The reversal of 36243265576644 is 44667556234263.

The square root of 36243265576644 is 6020238.

It is a perfect power (a square), and thus also a powerful number.

36243265576644 is a `hidden beast` number, since 3 + 6 + 2 + 4 + 32 + 6 + 557 + 6 + 6 + 44 = 666.

36243265576644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 28521047060100 + 7722218516544 = 5340510^2 + 2778888^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (36243265576649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1769939734 + ... + 1769960210.

Almost surely, 236243265576644 is an apocalyptic number.

36243265576644 is the 6020238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36243265576644

36243265576644 is an abundant number, since it is smaller than the sum of its proper divisors (70639669455593).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36243265576644 is an frugal number, since it uses more digits than its factorization.

36243265576644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40992 (or 20489 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 63.

The spelling of 36243265576644 in words is "thirty-six trillion, two hundred forty-three billion, two hundred sixty-five million, five hundred seventy-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 2401 3087 4116 4802 6174 7203 9604 12348 14406 20477 21609 28812 40954 43218 61431 81908 86436 122862 143339 184293 245724 286678 368586 430017 573356 737172 860034 1003373 1290051 1720068 2006746 2580102 3010119 4013492 5160204 6020238 7023611 9030357 12040476 14047222 18060714 21070833 28094444 36121428 42141666 49165277 63212499 84283332 98330554 126424998 147495831 196661108 252849996 294991662 419307529 442487493 589983324 838615058 884974986 1257922587 1677230116 1769949972 2515845174 2935152703 3773767761 5031690348 5870305406 7547535522 8805458109 11740610812 15095071044 17610916218 20546068921 26416374327 35221832436 41092137842 52832748654 61638206763 82184275684 105665497308 123276413526 143822482447 184914620289 246552827052 287644964894 369829240578 431467447341 575289929788 739658481156 862934894682 1006757377129 1294402342023 1725869789364 2013514754258 2588804684046 3020272131387 4027029508516 5177609368092 6040544262774 9060816394161 12081088525548 18121632788322 36243265576644