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51128853696 = 263428135099
BaseRepresentation
bin101111100111100001…
…000110010011000000
311212222020221212210000
4233213201012103000
51314202441304241
635253244440000
73460010041254
oct574741062300
9155866855700
1051128853696
111a7579a5598
129aaab49000
134a8a8b39ab
142690620264
1514e3a29eb6
hexbe78464c0

51128853696 has 140 divisors (see below), whose sum is σ = 152105639400. Its totient is φ = 16981816320.

The previous prime is 51128853667. The next prime is 51128853701. The reversal of 51128853696 is 69635882115.

51128853696 is a `hidden beast` number, since 5 + 1 + 12 + 8 + 8 + 536 + 96 = 666.

It is a super-2 number, since 2×511288536962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1439155 + ... + 1474253.

Almost surely, 251128853696 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 51128853696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76052819700).

51128853696 is an abundant number, since it is smaller than the sum of its proper divisors (100976785704).

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

51128853696 is a wasteful number, since it uses less digits than its factorization.

51128853696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35404 (or 35385 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 51128853696 in words is "fifty-one billion, one hundred twenty-eight million, eight hundred fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 281 288 324 432 562 576 648 843 864 1124 1296 1686 1728 2248 2529 2592 3372 4496 5058 5184 6744 7587 8992 10116 13488 15174 17984 20232 22761 26976 30348 35099 40464 45522 53952 60696 70198 80928 91044 105297 121392 140396 161856 182088 210594 242784 280792 315891 364176 421188 485568 561584 631782 728352 842376 947673 1123168 1263564 1456704 1684752 1895346 2246336 2527128 2843019 3369504 3790692 5054256 5686038 6739008 7581384 9862819 10108512 11372076 15162768 19725638 20217024 22744152 29588457 30325536 39451276 45488304 59176914 60651072 78902552 88765371 90976608 118353828 157805104 177530742 181953216 236707656 266296113 315610208 355061484 473415312 532592226 631220416 710122968 798888339 946830624 1065184452 1420245936 1597776678 1893661248 2130368904 2840491872 3195553356 4260737808 5680983744 6391106712 8521475616 12782213424 17042951232 25564426848 51128853696