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1940950656 = 27321799109
BaseRepresentation
bin111001110110000…
…1000111010000000
312000021020111202100
41303230020322000
512433340410111
6520333150400
766045544161
oct16354107200
95007214670
101940950656
11906685a57
1246202b400
1324c171018
14145ac7768
15b55eb756
hex73b08e80

1940950656 has 96 divisors (see below), whose sum is σ = 5913893700. Its totient is φ = 608919552.

The previous prime is 1940950589. The next prime is 1940950663. The reversal of 1940950656 is 6560590491.

It is a happy number.

1940950656 is a `hidden beast` number, since 1 + 94 + 0 + 9 + 506 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1782190656 + 158760000 = 42216^2 + 12600^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 29971 + ... + 69138.

Almost surely, 21940950656 is an apocalyptic number.

1940950656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1940950656 is an abundant number, since it is smaller than the sum of its proper divisors (3972943044).

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

1940950656 is a wasteful number, since it uses less digits than its factorization.

1940950656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99146 (or 99131 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 1940950656 is about 44056.2215356696. The cubic root of 1940950656 is about 1247.3973915174.

The spelling of 1940950656 in words is "one billion, nine hundred forty million, nine hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 99109 198218 297327 396436 594654 792872 891981 1189308 1585744 1684853 1783962 2378616 3171488 3369706 3567924 4757232 5054559 6342976 6739412 7135848 9514464 10109118 12685952 13478824 14271696 15163677 19028928 20218236 26957648 28543392 30327354 38057856 40436472 53915296 57086784 60654708 80872944 107830592 114173568 121309416 161745888 215661184 242618832 323491776 485237664 646983552 970475328 1940950656