Search a number
-
+
51563998336 = 274143832753
BaseRepresentation
bin110000000001011101…
…000010110010000000
311221002120202112000011
4300001131002302000
51321100340421321
635404351234304
73503542516444
oct600135026200
9157076675004
1051563998336
111a960595164
129bb0818994
134b29aabb26
1426d2332824
15151bd31ae1
hexc01742c80

51563998336 has 128 divisors (see below), whose sum is σ = 109014776640. Its totient is φ = 24263393280.

The previous prime is 51563998271. The next prime is 51563998373. The reversal of 51563998336 is 63389936515.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18728736 + ... + 18731488.

Almost surely, 251563998336 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 51563998336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54507388320).

51563998336 is an abundant number, since it is smaller than the sum of its proper divisors (57450778304).

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

51563998336 is a wasteful number, since it uses less digits than its factorization.

51563998336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2922 counting only the distinct ones).

The product of its digits is 15746400, while the sum is 58.

The spelling of 51563998336 in words is "fifty-one billion, five hundred sixty-three million, nine hundred ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 43 64 82 83 86 128 164 166 172 328 332 344 656 664 688 1312 1328 1376 1763 2624 2656 2752 2753 3403 3526 3569 5248 5312 5504 5506 6806 7052 7138 10624 11012 13612 14104 14276 22024 27224 28208 28552 44048 54448 56416 57104 88096 108896 112832 112873 114208 118379 146329 176192 217792 225664 225746 228416 228499 236758 292658 352384 435584 451492 456832 456998 473516 585316 902984 913996 947032 1170632 1805968 1827992 1894064 2341264 3611936 3655984 3788128 4682528 4853539 7223872 7311968 7576256 9365056 9368459 9707078 9825457 14447744 14623936 15152512 18730112 18736918 19414156 19650914 29247872 37473836 38828312 39301828 74947672 77656624 78603656 149895344 155313248 157207312 299790688 310626496 314414624 402843737 599581376 621252992 628829248 805687474 1199162752 1257658496 1611374948 3222749896 6445499792 12890999584 25781999168 51563998336