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51257220552 = 233613764153
BaseRepresentation
bin101111101111001010…
…110001110111001000
311220022012111121000000
4233233022301313020
51314433322024202
635314112043000
73463126120536
oct575712616710
9156265447000
1051257220552
111a8134014aa
129b25b33460
134aab37a005
1426a36b7156
1514eee3491c
hexbef2b1dc8

51257220552 has 112 divisors (see below), whose sum is σ = 145149066540. Its totient is φ = 16960762368.

The previous prime is 51257220541. The next prime is 51257220577. The reversal of 51257220552 is 25502275215.

51257220552 is a `hidden beast` number, since 5 + 12 + 5 + 72 + 20 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43876005156 + 7381215396 = 209466^2 + 85914^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 766908 + ... + 831060.

Almost surely, 251257220552 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 51257220552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72574533270).

51257220552 is an abundant number, since it is smaller than the sum of its proper divisors (93891845988).

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

51257220552 is a wasteful number, since it uses less digits than its factorization.

51257220552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64314 (or 64295 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

Adding to 51257220552 its reverse (25502275215), we get a palindrome (76759495767).

The spelling of 51257220552 in words is "fifty-one billion, two hundred fifty-seven million, two hundred twenty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 137 162 216 243 274 324 411 486 548 648 729 822 972 1096 1233 1458 1644 1944 2466 2916 3288 3699 4932 5832 7398 9864 11097 14796 22194 29592 33291 44388 64153 66582 88776 99873 128306 133164 192459 199746 256612 266328 384918 399492 513224 577377 769836 798984 1154754 1539672 1732131 2309508 3464262 4619016 5196393 6928524 8788961 10392786 13857048 15589179 17577922 20785572 26366883 31178358 35155844 41571144 46767537 52733766 62356716 70311688 79100649 93535074 105467532 124713432 158201298 187070148 210935064 237301947 316402596 374140296 474603894 632805192 711905841 949207788 1423811682 1898415576 2135717523 2847623364 4271435046 5695246728 6407152569 8542870092 12814305138 17085740184 25628610276 51257220552