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10009999968 = 2532773371117
BaseRepresentation
bin10010101001010010…
…00111101001100000
3221211121120200111120
421110221013221200
5131000024444333
64333141012240
7503025411243
oct112451075140
927747520446
1010009999968
114277425151
121b343b4080
13c36aac007
146ad60725a
153d8bd5db3
hex254a47a60

10009999968 has 96 divisors (see below), whose sum is σ = 26473041504. Its totient is φ = 3311788032.

The previous prime is 10009999949. The next prime is 10009999969. The reversal of 10009999968 is 86999990001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009999969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8960946 + ... + 8962062.

It is an arithmetic number, because the mean of its divisors is an integer number (275760849).

Almost surely, 210009999968 is an apocalyptic number.

It is an amenable number.

10009999968 is an abundant number, since it is smaller than the sum of its proper divisors (16463041536).

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

10009999968 is a wasteful number, since it uses less digits than its factorization.

10009999968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 60.

The spelling of 10009999968 in words is "ten billion, nine million, nine hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 277 337 554 674 831 1011 1108 1117 1348 1662 2022 2216 2234 2696 3324 3351 4044 4432 4468 5392 6648 6702 8088 8864 8936 10784 13296 13404 16176 17872 26592 26808 32352 35744 53616 93349 107232 186698 280047 309409 373396 376429 560094 618818 746792 752858 928227 1120188 1129287 1237636 1493584 1505716 1856454 2240376 2258574 2475272 2987168 3011432 3712908 4480752 4517148 4950544 6022864 7425816 8961504 9034296 9901088 12045728 14851632 18068592 29703264 36137184 104270833 208541666 312812499 417083332 625624998 834166664 1251249996 1668333328 2502499992 3336666656 5004999984 10009999968