Search a number
-
+
72578792064 = 2731163162517
BaseRepresentation
bin100001110011000001…
…0000111101010000000
320221100010210122112210
41003212002013222000
52142120132321224
653201531222120
75146366360602
oct1034602075200
9227303718483
1072578792064
1128864921789
12120965a7940
136ac87a340c
1437272d7172
151d4bc02429
hex10e6087a80

72578792064 has 64 divisors (see below), whose sum is σ = 192954371040. Its totient is φ = 24171979776.

The previous prime is 72578792059. The next prime is 72578792123. The reversal of 72578792064 is 46029787527.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 72578791995 and 72578792013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365334 + ... + 527850.

Almost surely, 272578792064 is an apocalyptic number.

It is an amenable number.

72578792064 is an abundant number, since it is smaller than the sum of its proper divisors (120375578976).

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

72578792064 is a wasteful number, since it uses less digits than its factorization.

72578792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163697 (or 163685 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 72578792064 in words is "seventy-two billion, five hundred seventy-eight million, seven hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1163 2326 3489 4652 6978 9304 13956 18608 27912 37216 55824 74432 111648 148864 162517 223296 325034 446592 487551 650068 975102 1300136 1950204 2600272 3900408 5200544 7800816 10401088 15601632 20802176 31203264 62406528 189007271 378014542 567021813 756029084 1134043626 1512058168 2268087252 3024116336 4536174504 6048232672 9072349008 12096465344 18144698016 24192930688 36289396032 72578792064