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190631420928 = 21032131591141
BaseRepresentation
bin1011000110001010000…
…1001010010000000000
3200020001102122120001100
42301202201022100000
511110403120432203
6223324100534400
716526011225254
oct2614241122000
9606042576040
10190631420928
1173934516073
1230b420b1400
1314c903ac270
149325b64264
154e5ac3dea3
hex2c6284a400

190631420928 has 132 divisors (see below), whose sum is σ = 592786316668. Its totient is φ = 58655784960.

The previous prime is 190631420899. The next prime is 190631420929. The reversal of 190631420928 is 829024136091.

190631420928 is a `hidden beast` number, since 1 + 9 + 0 + 631 + 4 + 2 + 0 + 9 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27518828544 + 163112592384 = 165888^2 + 403872^2 .

It is not an unprimeable number, because it can be changed into a prime (190631420929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 675763 + ... + 915378.

Almost surely, 2190631420928 is an apocalyptic number.

190631420928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

190631420928 is an abundant number, since it is smaller than the sum of its proper divisors (402154895740).

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

190631420928 is a wasteful number, since it uses less digits than its factorization.

190631420928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591180 (or 1591159 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 190631420928 in words is "one hundred ninety billion, six hundred thirty-one million, four hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2304 2496 3072 3328 3744 4608 4992 6656 7488 9216 9984 13312 14976 19968 29952 39936 59904 119808 1591141 3182282 4773423 6364564 9546846 12729128 14320269 19093692 20684833 25458256 28640538 38187384 41369666 50916512 57281076 62054499 76374768 82739332 101833024 114562152 124108998 152749536 165478664 186163497 203666048 229124304 248217996 305499072 330957328 372326994 407332096 458248608 496435992 610998144 661914656 744653988 814664192 916497216 992871984 1221996288 1323829312 1489307976 1629328384 1832994432 1985743968 2443992576 2647658624 2978615952 3665988864 3971487936 4887985152 5295317248 5957231904 7331977728 7942975872 10590634496 11914463808 14663955456 15885951744 21181268992 23828927616 31771903488 47657855232 63543806976 95315710464 190631420928