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104235006645 = 325711187316061
BaseRepresentation
bin110000100010011100…
…0111111101010110101
3100222001022112222012200
41201010320333222311
53201433130203040
6115515045535113
710350016636440
oct1410470775265
9328038488180
10104235006645
1140229a422a0
1218250114499
139aa2024233
14508b6aa657
152aa0e31630
hex1844e3fab5

104235006645 has 96 divisors (see below), whose sum is σ = 225390207744. Its totient is φ = 43292620800.

The previous prime is 104235006587. The next prime is 104235006703. The reversal of 104235006645 is 546600532401.

104235006645 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 3 + 5 + 0 + 0 + 6 + 645 = 666.

It is an interprime number because it is at equal distance from previous prime (104235006587) and next prime (104235006703).

It is not a de Polignac number, because 104235006645 - 26 = 104235006581 is a prime.

It is a super-2 number, since 2×1042350066452 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6481915 + ... + 6497975.

It is an arithmetic number, because the mean of its divisors is an integer number (2347814664).

Almost surely, 2104235006645 is an apocalyptic number.

104235006645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104235006645 is an abundant number, since it is smaller than the sum of its proper divisors (121155201099).

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

104235006645 is a wasteful number, since it uses less digits than its factorization.

104235006645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17963 (or 17960 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 104235006645 in words is "one hundred four billion, two hundred thirty-five million, six thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 1873 3465 5619 9365 13111 16061 16857 20603 28095 39333 48183 61809 65555 80305 84285 103015 112427 117999 144221 144549 176671 185427 196665 240915 309045 337281 432663 530013 562135 589995 721105 722745 883355 927135 1011843 1236697 1297989 1590039 1686405 2163315 2650065 3710091 5059215 6183485 6489945 7950195 11130273 18550455 30082253 55651365 90246759 150411265 210575771 270740277 330904783 451233795 631727313 992714349 1052878855 1353701385 1654523915 1895181939 2316333481 2978143047 3158636565 4963571745 6949000443 9475909695 11581667405 14890715235 20847001329 34745002215 104235006645