Search a number
-
+
44604691680 = 2535142965029
BaseRepresentation
bin101001100010101001…
…011001010011100000
311021010120121002222210
4221202221121103200
51212322300113210
632254025202120
73136226423613
oct514251312340
9137116532883
1044604691680
1117a0a20505a
12878a030340
13428b0531b3
142231d6a17a
151260da4e20
hexa62a594e0

44604691680 has 96 divisors (see below), whose sum is σ = 140605264800. Its totient is φ = 11886077952.

The previous prime is 44604691601. The next prime is 44604691687. The reversal of 44604691680 is 8619640644.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×446046916802 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44604691687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653406 + ... + 718434.

It is an arithmetic number, because the mean of its divisors is an integer number (1464638175).

Almost surely, 244604691680 is an apocalyptic number.

44604691680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44604691680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70302632400).

44604691680 is an abundant number, since it is smaller than the sum of its proper divisors (96000573120).

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

44604691680 is a wasteful number, since it uses less digits than its factorization.

44604691680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66476 (or 66468 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 44604691680 in words is "forty-four billion, six hundred four million, six hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1429 2858 4287 5716 7145 8574 11432 14290 17148 21435 22864 28580 34296 42870 45728 57160 65029 68592 85740 114320 130058 137184 171480 195087 228640 260116 325145 342960 390174 520232 650290 685920 780348 975435 1040464 1300580 1560696 1950870 2080928 2601160 3121392 3901740 5202320 6242784 7803480 10404640 15606960 31213920 92926441 185852882 278779323 371705764 464632205 557558646 743411528 929264410 1115117292 1393896615 1486823056 1858528820 2230234584 2787793230 2973646112 3717057640 4460469168 5575586460 7434115280 8920938336 11151172920 14868230560 22302345840 44604691680