Search a number
-
+
64154035424124 = 22328399532228777
BaseRepresentation
bin11101001011001000001100…
…11111100000101101111100
322102011001210000220111222200
432211210012133200231330
531402044431032032444
6344235542414111500
716340655542435652
oct1645440637405574
9272131700814880
1064154035424124
1119494634560788
1272415947ab590
1329a4912c9b8a9
1411bb10135cdd2
15763bd8a5d969
hex3a59067e0b7c

64154035424124 has 72 divisors (see below), whose sum is σ = 162530871965280. Its totient is φ = 21336768026112.

The previous prime is 64154035424113. The next prime is 64154035424189. The reversal of 64154035424124 is 42142453045146.

64154035424124 is a `hidden beast` number, since 6 + 4 + 1 + 5 + 40 + 3 + 542 + 41 + 24 = 666.

It is a super-2 number, since 2×641540354241242 (a number of 28 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 64154035424124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27670024 + ... + 29898800.

It is an arithmetic number, because the mean of its divisors is an integer number (2257373221740).

Almost surely, 264154035424124 is an apocalyptic number.

It is an amenable number.

64154035424124 is an abundant number, since it is smaller than the sum of its proper divisors (98376836541156).

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

64154035424124 is a wasteful number, since it uses less digits than its factorization.

64154035424124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230579 (or 2230574 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 64154035424124 in words is "sixty-four trillion, one hundred fifty-four billion, thirty-five million, four hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 839 953 1678 1906 2517 2859 3356 3812 5034 5718 7551 8577 10068 11436 15102 17154 30204 34308 799567 1599134 2228777 2398701 3198268 4457554 4797402 6686331 7196103 8915108 9594804 13372662 14392206 20058993 26745324 28784412 40117986 80235972 1869943903 2124024481 3739887806 4248048962 5609831709 6372073443 7479775612 8496097924 11219663418 12744146886 16829495127 19116220329 22439326836 25488293772 33658990254 38232440658 67317980508 76464881316 1782056539559 3564113079118 5346169618677 7128226158236 10692339237354 16038508856031 21384678474708 32077017712062 64154035424124