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104206254464 = 271327876121
BaseRepresentation
bin110000100001100101…
…1010100000110000000
3100221222022110012122002
41201003023110012000
53201403300120324
6115512141403132
710346220356024
oct1410313240600
9327868405562
10104206254464
1140214794364
12182425694a8
139a99098200
145087944384
152a9d6523ae
hex18432d4180

104206254464 has 96 divisors (see below), whose sum is σ = 225118306440. Its totient is φ = 48026234880.

The previous prime is 104206254457. The next prime is 104206254469. The reversal of 104206254464 is 464452602401.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104206254469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17021324 + ... + 17027444.

Almost surely, 2104206254464 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 104206254464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112559153220).

104206254464 is an abundant number, since it is smaller than the sum of its proper divisors (120912051976).

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

104206254464 is an equidigital number, since it uses as much as digits as its factorization.

104206254464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6948 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

Adding to 104206254464 its reverse (464452602401), we get a palindrome (568658856865).

The spelling of 104206254464 in words is "one hundred four billion, two hundred six million, two hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 787 832 1352 1574 1664 2704 3148 5408 6121 6296 10231 10816 12242 12592 20462 21632 24484 25184 40924 48968 50368 79573 81848 97936 100736 133003 159146 163696 195872 266006 318292 327392 391744 532012 636584 654784 783488 1034449 1064024 1273168 1309568 2068898 2128048 2546336 4137796 4256096 4817227 5092672 8275592 8512192 9634454 10185344 16551184 17024384 19268908 33102368 38537816 62623951 66204736 77075632 125247902 132409472 154151264 250495804 308302528 500991608 616605056 814111363 1001983216 1628222726 2003966432 3256445452 4007932864 6512890904 8015865728 13025781808 26051563616 52103127232 104206254464