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51006065616 = 24321197331967
BaseRepresentation
bin101111100000001100…
…101100101111010000
311212122200220121012100
4233200030230233100
51313430023044431
635233141000400
73453656255442
oct574014545720
9155580817170
1051006065616
111a6a465a040
129a759b3100
134a6b321a1c
14267c1ba492
1514d7d734e6
hexbe032cbd0

51006065616 has 120 divisors (see below), whose sum is σ = 157328930304. Its totient is φ = 15296993280.

The previous prime is 51006065603. The next prime is 51006065659. The reversal of 51006065616 is 61656060015.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12336 + ... + 319631.

Almost surely, 251006065616 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 51006065616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78664465152).

51006065616 is an abundant number, since it is smaller than the sum of its proper divisors (106322864688).

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

51006065616 is a wasteful number, since it uses less digits than its factorization.

51006065616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332089 (or 332080 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 51006065616 in words is "fifty-one billion, six million, sixty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 97 99 132 144 176 194 198 264 291 388 396 528 582 776 792 873 1067 1164 1552 1584 1746 2134 2328 3201 3492 4268 4656 6402 6984 8536 9603 12804 13968 17072 19206 25608 38412 51216 76824 153648 331967 663934 995901 1327868 1991802 2655736 2987703 3651637 3983604 5311472 5975406 7303274 7967208 10954911 11950812 14606548 15934416 21909822 23901624 29213096 32200799 32864733 43819644 47803248 58426192 64401598 65729466 87639288 96602397 128803196 131458932 175278576 193204794 257606392 262917864 289807191 354208789 386409588 515212784 525835728 579614382 708417578 772819176 1062626367 1159228764 1416835156 1545638352 2125252734 2318457528 2833670312 3187879101 4250505468 4636915056 5667340624 6375758202 8501010936 12751516404 17002021872 25503032808 51006065616