Search a number
-
+
104850977502096 = 243271272513263131
BaseRepresentation
bin10111110101110010000101…
…010001001011001110010000
3111202020122200220022101121200
4113311302011101023032100
5102220334300220031341
61010555512445551200
731041142652442450
oct2765620521131620
9452218626271550
10104850977502096
1130455060382361
12b9149a4275500
13466753531b867
141bc6b58979d60
15c1c63414bdb6
hex5f5c8544b390

104850977502096 has 240 divisors, whose sum is σ = 339344008593408. Its totient is φ = 29603115360000.

The previous prime is 104850977502013. The next prime is 104850977502151. The reversal of 104850977502096 is 690205779058401.

104850977502096 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 50 + 9 + 77 + 502 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30500451 + ... + 33763581.

Almost surely, 2104850977502096 is an apocalyptic number.

104850977502096 is a gapful number since it is divisible by the number (16) 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 104850977502096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169672004296704).

104850977502096 is an abundant number, since it is smaller than the sum of its proper divisors (234493031091312).

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

104850977502096 is a wasteful number, since it uses less digits than its factorization.

104850977502096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263530 (or 3263521 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 104850977502096 in words is "one hundred four trillion, eight hundred fifty billion, nine hundred seventy-seven million, five hundred two thousand, ninety-six".