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2990761956 = 22327131948049
BaseRepresentation
bin1011001001000011…
…0110011111100100
321201102122110010100
42302100312133210
522111113340311
61212434224100
7134054025420
oct26220663744
97642573110
102990761956
1112a52307a6
126b5725030
133887cb740
142052bdb80
1512786ba56
hexb24367e4

2990761956 has 144 divisors (see below), whose sum is σ = 9794512000. Its totient is φ = 747242496.

The previous prime is 2990761931. The next prime is 2990761957. The reversal of 2990761956 is 6591670992.

2990761956 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2990761957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38220 + ... + 86268.

Almost surely, 22990761956 is an apocalyptic number.

2990761956 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 2990761956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897256000).

2990761956 is an abundant number, since it is smaller than the sum of its proper divisors (6803750044).

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

2990761956 is a wasteful number, since it uses less digits than its factorization.

2990761956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48098 (or 48093 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The square root of 2990761956 is about 54687.8593108196. The cubic root of 2990761956 is about 1440.7676520409.

The spelling of 2990761956 in words is "two billion, nine hundred ninety million, seven hundred sixty-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 988 1092 1197 1482 1596 1638 1729 2223 2394 2964 3276 3458 4446 4788 5187 6916 8892 10374 15561 20748 31122 48049 62244 96098 144147 192196 288294 336343 432441 576588 624637 672686 864882 912931 1009029 1249274 1345372 1729764 1825862 1873911 2018058 2498548 2738793 3027087 3651724 3747822 4036116 4372459 5477586 5621733 6054174 6390517 7495644 8216379 8744918 10955172 11243466 11868103 12108348 12781034 13117377 16432758 17489836 19171551 22486932 23736206 25562068 26234754 32865516 35604309 38343102 39352131 47472412 52469508 57514653 71208618 76686204 78704262 83076721 106812927 115029306 142417236 157408524 166153442 213625854 230058612 249230163 332306884 427251708 498460326 747690489 996920652 1495380978 2990761956