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51147934432 = 2577914831949
BaseRepresentation
bin101111101000101001…
…111000101011100000
311220000120212021121221
4233220221320223200
51314222332400212
635255205424424
73460331161240
oct575051705340
9156016767557
1051147934432
111a7677481a1
129ab540b114
134a9183487a
142692d89b20
1514e5548807
hexbe8a78ae0

51147934432 has 96 divisors (see below), whose sum is σ = 116678016000. Its totient is φ = 21617376768.

The previous prime is 51147934429. The next prime is 51147934441. The reversal of 51147934432 is 23443974115.

51147934432 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 2×511479344322 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26242194 + ... + 26244142.

It is an arithmetic number, because the mean of its divisors is an integer number (1215396000).

Almost surely, 251147934432 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 51147934432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58339008000).

51147934432 is an abundant number, since it is smaller than the sum of its proper divisors (65530081568).

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

51147934432 is a wasteful number, since it uses less digits than its factorization.

51147934432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3520 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The spelling of 51147934432 in words is "fifty-one billion, one hundred forty-seven million, nine hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1106 1264 1483 1949 2212 2528 2966 3898 4424 5932 7796 8848 10381 11864 13643 15592 17696 20762 23728 27286 31184 41524 47456 54572 62368 83048 109144 117157 153971 166096 218288 234314 307942 332192 436576 468628 615884 820099 937256 1077797 1231768 1640198 1874512 2155594 2463536 2890367 3280396 3749024 4311188 4927072 5780734 6560792 8622376 11561468 13121584 17244752 20232569 23122936 26243168 34489504 40465138 46245872 80930276 92491744 161860552 228338993 323721104 456677986 647442208 913355972 1598372951 1826711944 3196745902 3653423888 6393491804 7306847776 12786983608 25573967216 51147934432