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51606187568 = 24133183211457
BaseRepresentation
bin110000000011111101…
…111110111000110000
311221012112010221202022
4300003331332320300
51321142141000233
635412455411012
73504564233225
oct600375767060
9157175127668
1051606187568
111a9823905a1
12a002983a68
134b35760c80
1426d7b9594c
1515208b7398
hexc03f7ee30

51606187568 has 160 divisors (see below), whose sum is σ = 113271416832. Its totient is φ = 22614681600.

The previous prime is 51606187559. The next prime is 51606187583. The reversal of 51606187568 is 86578160615.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112923596 + ... + 112924052.

Almost surely, 251606187568 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 51606187568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56635708416).

51606187568 is an abundant number, since it is smaller than the sum of its proper divisors (61665229264).

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

51606187568 is a wasteful number, since it uses less digits than its factorization.

51606187568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 53.

The spelling of 51606187568 in words is "fifty-one billion, six hundred six million, one hundred eighty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 83 104 124 166 208 211 248 332 403 422 457 496 664 806 844 914 1079 1328 1612 1688 1828 2158 2573 2743 3224 3376 3656 4316 5146 5486 5941 6448 6541 7312 8632 10292 10972 11882 13082 14167 17264 17513 20584 21944 23764 26164 28334 33449 35026 37931 41168 43888 47528 52328 56668 66898 70052 75862 85033 95056 96427 104656 113336 133796 140104 151724 170066 184171 192854 226672 227669 267592 280208 303448 340132 368342 385708 455338 493103 535184 542903 606896 680264 736684 771416 910676 986206 1085806 1175861 1253551 1360528 1473368 1542832 1821352 1972412 2171612 2351722 2507102 2946736 2989237 3642704 3944824 4343224 4703444 5014204 5978474 7057739 7889648 8003441 8686448 9406888 10028408 11956948 14115478 15286193 16006882 18813776 20056816 23913896 28230956 30572386 32013764 38860081 47827792 56461912 61144772 64027528 77720162 104044733 112923824 122289544 128055056 155440324 208089466 244579088 248106671 310880648 416178932 496213342 621761296 832357864 992426684 1664715728 1984853368 3225386723 3969706736 6450773446 12901546892 25803093784 51606187568