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104962399344 = 24331122088047
BaseRepresentation
bin110000111000000111…
…1110001110001110000
3101000221000021100102000
41201300033301301300
53204430333234334
6120115152254000
710404031450035
oct1416017616160
9330830240360
10104962399344
11405725a1190
1218413841300
139b8993490a
14511a13538c
152ae4c15299
hex18703f1c70

104962399344 has 80 divisors (see below), whose sum is σ = 328670154240. Its totient is φ = 31806786240.

The previous prime is 104962399309. The next prime is 104962399387. The reversal of 104962399344 is 443993269401.

104962399344 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 623 + 9 + 9 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×1049623993442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11039272 + ... + 11048775.

It is an arithmetic number, because the mean of its divisors is an integer number (4108376928).

Almost surely, 2104962399344 is an apocalyptic number.

It is an amenable number.

104962399344 is an abundant number, since it is smaller than the sum of its proper divisors (223707754896).

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

104962399344 is a wasteful number, since it uses less digits than its factorization.

104962399344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22088075 (or 22088063 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 104962399344 in words is "one hundred four billion, nine hundred sixty-two million, three hundred ninety-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 22088047 44176094 66264141 88352188 132528282 176704376 198792423 242968517 265056564 353408752 397584846 485937034 530113128 596377269 728905551 795169692 971874068 1060226256 1192754538 1457811102 1590339384 1943748136 2186716653 2385509076 2915622204 3180678768 3887496272 4373433306 4771018152 5831244408 6560149959 8746866612 9542036304 11662488816 13120299918 17493733224 26240599836 34987466448 52481199672 104962399344