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160792987056 = 243134324372459
BaseRepresentation
bin1001010111000000000…
…0100100010110110000
3120101000221101001201220
42111300000210112300
510113301001041211
6201511155425040
714421412560552
oct2256000442660
9511027331656
10160792987056
11622124a4069
12271b52b5180
1312216635730
147ad4d754d2
1542b13cb806
hex25700245b0

160792987056 has 160 divisors (see below), whose sum is σ = 458111512320. Its totient is φ = 48284716032.

The previous prime is 160792987049. The next prime is 160792987129. The reversal of 160792987056 is 650789297061.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65388355 + ... + 65390813.

It is an arithmetic number, because the mean of its divisors is an integer number (2863196952).

Almost surely, 2160792987056 is an apocalyptic number.

160792987056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160792987056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229055756160).

160792987056 is an abundant number, since it is smaller than the sum of its proper divisors (297318525264).

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

160792987056 is a wasteful number, since it uses less digits than its factorization.

160792987056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 160792987056 in words is "one hundred sixty billion, seven hundred ninety-two million, nine hundred eighty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1118 1677 2064 2236 2437 2459 3354 4472 4874 4918 6708 7311 7377 8944 9748 9836 13416 14622 14754 19496 19672 26832 29244 29508 31681 31967 38992 39344 58488 59016 63362 63934 95043 95901 104791 105737 116976 118032 126724 127868 190086 191802 209582 211474 253448 255736 314373 317211 380172 383604 419164 422948 506896 511472 628746 634422 760344 767208 838328 845896 1257492 1268844 1362283 1374581 1520688 1534416 1676656 1691792 2514984 2537688 2724566 2749162 4086849 4123743 5029968 5075376 5449132 5498324 5992583 8173698 8247486 10898264 10996648 11985166 16347396 16494972 17977749 21796528 21993296 23970332 32694792 32989944 35955498 47940664 65389584 65979888 71910996 77903579 95881328 143821992 155807158 233710737 257681069 287643984 311614316 467421474 515362138 623228632 773043207 934842948 1030724276 1246457264 1546086414 1869685896 2061448552 3092172828 3349853897 3739371792 4122897104 6184345656 6699707794 10049561691 12368691312 13399415588 20099123382 26798831176 40198246764 53597662352 80396493528 160792987056