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51237067136 = 2719731911511
BaseRepresentation
bin101111101101111101…
…111001100110000000
311220020210120200201012
4233231331321212000
51314413142122021
635312112100052
73462462612323
oct575575714600
9156223520635
1051237067136
111a802a96992
129b1b234628
134aa7141b08
1426a0b4c7ba
1514ed2a335b
hexbedf79980

51237067136 has 128 divisors (see below), whose sum is σ = 109560729600. Its totient is φ = 23796633600.

The previous prime is 51237067129. The next prime is 51237067157. The reversal of 51237067136 is 63176073215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 51237067093 and 51237067102.

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, 33908621 + ... + 33910131.

It is an arithmetic number, because the mean of its divisors is an integer number (855943200).

Almost surely, 251237067136 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 51237067136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54780364800).

51237067136 is an abundant number, since it is smaller than the sum of its proper divisors (58323662464).

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

51237067136 is a wasteful number, since it uses less digits than its factorization.

51237067136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

The spelling of 51237067136 in words is "fifty-one billion, two hundred thirty-seven million, sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 73 76 128 146 152 191 292 304 382 584 608 764 1168 1216 1387 1511 1528 2336 2432 2774 3022 3056 3629 4672 5548 6044 6112 7258 9344 11096 12088 12224 13943 14516 22192 24176 24448 27886 28709 29032 44384 48352 55772 57418 58064 88768 96704 110303 111544 114836 116128 177536 193408 220606 223088 229672 232256 264917 288601 441212 446176 459344 464512 529834 577202 882424 892352 918688 1059668 1154404 1764848 1784704 1837376 2095757 2119336 2308808 3529696 3674752 4191514 4238672 4617616 5483419 7059392 8383028 8477344 9235232 10966838 14118784 16766056 16954688 18470464 21067873 21933676 33532112 33909376 36940928 42135746 43867352 67064224 84271492 87734704 134128448 168542984 175469408 268256896 337085968 350938816 400289587 674171936 701877632 800579174 1348343872 1601158348 2696687744 3202316696 6404633392 12809266784 25618533568 51237067136