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51157733136 = 2433197135407
BaseRepresentation
bin101111101001001111…
…010000111100010000
311220001021022002220220
4233221033100330100
51314232334430021
635300155433040
73460510362006
oct575117207420
9156037262826
1051157733136
111a7722300a4
129ab8755780
134a93885913
1426943baa76
1514e6331cc6
hexbe93d0f10

51157733136 has 80 divisors (see below), whose sum is σ = 136564973568. Its totient is φ = 16485033600.

The previous prime is 51157733131. The next prime is 51157733189. The reversal of 51157733136 is 63133775115.

51157733136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511577331362 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51157733131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1427145 + ... + 1462551.

Almost surely, 251157733136 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 51157733136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68282486784).

51157733136 is an abundant number, since it is smaller than the sum of its proper divisors (85407240432).

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

51157733136 is a wasteful number, since it uses less digits than its factorization.

51157733136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36420 (or 36414 counting only the distinct ones).

The product of its digits is 198450, while the sum is 42.

The spelling of 51157733136 in words is "fifty-one billion, one hundred fifty-seven million, seven hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 971 1488 1942 2913 3884 5826 7768 11652 15536 23304 30101 35407 46608 60202 70814 90303 106221 120404 141628 180606 212442 240808 283256 361212 424884 481616 566512 722424 849768 1097617 1444848 1699536 2195234 3292851 4390468 6585702 8780936 13171404 17561872 26342808 34380197 52685616 68760394 103140591 137520788 206281182 275041576 412562364 550083152 825124728 1065786107 1650249456 2131572214 3197358321 4263144428 6394716642 8526288856 12789433284 17052577712 25578866568 51157733136