Search a number
-
+
20027566368 = 2532313835857
BaseRepresentation
bin10010101001101111…
…000110100100100000
31220200202101210012100
4102221233012210200
5312004024110433
613111152130400
71306205335215
oct225157064440
956622353170
1020027566368
118548048047
123a6b236a00
131b72309cb4
14d7dc1db0c
157c33b3b13
hex4a9bc6920

20027566368 has 144 divisors (see below), whose sum is σ = 58954162176. Its totient is φ = 6442536960.

The previous prime is 20027566297. The next prime is 20027566381. The reversal of 20027566368 is 86366572002.

It is a happy number.

20027566368 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 7 + 5 + 6 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×200275663682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3416496 + ... + 3422352.

It is an arithmetic number, because the mean of its divisors is an integer number (409403904).

Almost surely, 220027566368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20027566368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29477081088).

20027566368 is an abundant number, since it is smaller than the sum of its proper divisors (38926595808).

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

20027566368 is a wasteful number, since it uses less digits than its factorization.

20027566368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20027566368 in words is "twenty billion, twenty-seven million, five hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 383 496 558 744 766 992 1116 1149 1488 1532 2232 2298 2976 3064 3447 4464 4596 5857 6128 6894 8928 9192 11714 11873 12256 13788 17571 18384 23428 23746 27576 35142 35619 36768 46856 47492 52713 55152 70284 71238 93712 94984 105426 106857 110304 140568 142476 181567 187424 189968 210852 213714 281136 284952 363134 379936 421704 427428 544701 562272 569904 726268 843408 854856 1089402 1139808 1452536 1634103 1686816 1709712 2178804 2243231 2905072 3268206 3419424 4357608 4486462 5810144 6536412 6729693 8715216 8972924 13072824 13459386 17430432 17945848 20189079 26145648 26918772 35891696 40378158 52291296 53837544 69540161 71783392 80756316 107675088 139080322 161512632 208620483 215350176 278160644 323025264 417240966 556321288 625861449 646050528 834481932 1112642576 1251722898 1668963864 2225285152 2503445796 3337927728 5006891592 6675855456 10013783184 20027566368