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104477048064 = 2832431105211
BaseRepresentation
bin110000101001101010…
…0010011110100000000
3100222200011222221121200
41201103110103310000
53202432111014224
6115555053421200
710356016153524
oct1412324236400
9328604887550
10104477048064
114034362a624
12182b919a800
139b1020b2cc
1450b18b3d84
152ab72e25c9
hex1853513d00

104477048064 has 108 divisors (see below), whose sum is σ = 301934872512. Its totient is φ = 34744550400.

The previous prime is 104477048059. The next prime is 104477048101. The reversal of 104477048064 is 460840774401.

It is a happy number.

104477048064 is a `hidden beast` number, since 1 + 0 + 4 + 47 + 70 + 480 + 64 = 666.

It is a super-2 number, since 2×1044770480642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 940419 + ... + 1045629.

It is an arithmetic number, because the mean of its divisors is an integer number (2795693264).

Almost surely, 2104477048064 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 104477048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150967436256).

104477048064 is an abundant number, since it is smaller than the sum of its proper divisors (197457824448).

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

104477048064 is a wasteful number, since it uses less digits than its factorization.

104477048064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105664 (or 105647 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 104477048064 in words is "one hundred four billion, four hundred seventy-seven million, forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 431 576 768 862 1152 1293 1724 2304 2586 3448 3879 5172 6896 7758 10344 13792 15516 20688 27584 31032 41376 55168 62064 82752 105211 110336 124128 165504 210422 248256 315633 331008 420844 496512 631266 841688 946899 993024 1262532 1683376 1893798 2525064 3366752 3787596 5050128 6733504 7575192 10100256 13467008 15150384 20200512 26934016 30300768 40401024 45345941 60601536 80802048 90691882 121203072 136037823 181383764 242406144 272075646 362767528 408113469 544151292 725535056 816226938 1088302584 1451070112 1632453876 2176605168 2902140224 3264907752 4353210336 5804280448 6529815504 8706420672 11608560896 13059631008 17412841344 26119262016 34825682688 52238524032 104477048064