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104906802072 = 23353697111831
BaseRepresentation
bin110000110110011101…
…1101100001110011000
3101000210010122201021210
41201230323230032120
53204322120131242
6120105444503120
710402455050622
oct1415473541630
9330703581253
10104906802072
1140544178126
12183b90aaaa0
139b7b269917
1451129c1c12
152adedd1d9c
hex186ceec398

104906802072 has 64 divisors (see below), whose sum is σ = 267276360960. Its totient is φ = 34301321600.

The previous prime is 104906802071. The next prime is 104906802089. The reversal of 104906802072 is 270208609401.

It is a super-2 number, since 2×1049068020722 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104906802072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104906802071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8861197 + ... + 8873027.

It is an arithmetic number, because the mean of its divisors is an integer number (4176193140).

Almost surely, 2104906802072 is an apocalyptic number.

104906802072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104906802072 is an abundant number, since it is smaller than the sum of its proper divisors (162369558888).

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

104906802072 is a wasteful number, since it uses less digits than its factorization.

104906802072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18864 (or 18860 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 104906802072 in words is "one hundred four billion, nine hundred six million, eight hundred two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 6971 11831 13942 20913 23662 27884 35493 41826 47324 55768 70986 83652 94648 141972 167304 283944 369463 627043 738926 1108389 1254086 1477852 1881129 2216778 2508172 2955704 3762258 4433556 5016344 7524516 8867112 15049032 82473901 164947802 247421703 329895604 494843406 659791208 989686812 1979373624 4371116753 8742233506 13113350259 17484467012 26226700518 34968934024 52453401036 104906802072