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2996688738576 = 2431389105151341
BaseRepresentation
bin101011100110111000100…
…100010101100100010000
3101121110222101112202201010
4223212320210111210100
5343044204304113301
610212354303410520
7426334511666511
oct53467044254420
911543871482633
102996688738576
11a5598573aa95
12404940bb3a40
13189781806b10
14a507d228a08
1552e3dbb95d6
hex2b9b8915910

2996688738576 has 160 divisors (see below), whose sum is σ = 8438801132160. Its totient is φ = 910812672000.

The previous prime is 2996688738559. The next prime is 2996688738577. The reversal of 2996688738576 is 6758378866992.

It is not an unprimeable number, because it can be changed into a prime (2996688738577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58342666 + ... + 58394006.

It is an arithmetic number, because the mean of its divisors is an integer number (52742507076).

Almost surely, 22996688738576 is an apocalyptic number.

2996688738576 is a gapful number since it is divisible by the number (26) 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 2996688738576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219400566080).

2996688738576 is an abundant number, since it is smaller than the sum of its proper divisors (5442112393584).

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

2996688738576 is a wasteful number, since it uses less digits than its factorization.

2996688738576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52505 (or 52499 counting only the distinct ones).

The product of its digits is 13168189440, while the sum is 84.

The spelling of 2996688738576 in words is "two trillion, nine hundred ninety-six billion, six hundred eighty-eight million, seven hundred thirty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 178 208 267 312 356 534 624 712 1051 1068 1157 1424 2102 2136 2314 3153 3471 4204 4272 4628 6306 6942 8408 9256 12612 13663 13884 16816 18512 25224 27326 27768 40989 50448 51341 54652 55536 81978 93539 102682 109304 154023 163956 187078 205364 218608 280617 308046 327912 374156 410728 561234 616092 655824 667433 748312 821456 1122468 1216007 1232184 1334866 1496624 2002299 2244936 2432014 2464368 2669732 3648021 4004598 4489872 4569349 4864028 5339464 7296042 8009196 9138698 9728056 10678928 13708047 14592084 16018392 18277396 19456112 27416094 29184168 32036784 36554792 53959391 54832188 58368336 59401537 73109584 107918782 109664376 118803074 161878173 178204611 215837564 219328752 237606148 323756346 356409222 431675128 475212296 647512692 701472083 712818444 863350256 950424592 1295025384 1402944166 1425636888 2104416249 2590050768 2805888332 2851273776 4208832498 4802385799 5611776664 8417664996 9604771598 11223553328 14407157397 16835329992 19209543196 28814314794 33670659984 38419086392 57628629588 62431015387 76838172784 115257259176 124862030774 187293046161 230514518352 249724061548 374586092322 499448123096 749172184644 998896246192 1498344369288 2996688738576