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10457704478001 = 31129335911812551
BaseRepresentation
bin1001100000101101111111…
…0000101011010100110001
31101000202011101221211101010
42120023133300223110301
52332314334321244001
634124111512301133
72126354444252124
oct230133760532461
941022141854333
1010457704478001
1133720a6600860
12120a9340a17a9
135ab207788bb1
14282226d603bb
151320677a48d6
hex982dfc2b531

10457704478001 has 64 divisors (see below), whose sum is σ = 15324602388480. Its totient is φ = 6290976480000.

The previous prime is 10457704477981. The next prime is 10457704478063. The reversal of 10457704478001 is 10087440775401.

10457704478001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10457704478001 - 215 = 10457704445233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10457704476001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4099451676 + ... + 4099454226.

It is an arithmetic number, because the mean of its divisors is an integer number (239446912320).

Almost surely, 210457704478001 is an apocalyptic number.

10457704478001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10457704478001 is a deficient number, since it is larger than the sum of its proper divisors (4866897910479).

10457704478001 is a wasteful number, since it uses less digits than its factorization.

10457704478001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398.

The product of its (nonzero) digits is 878080, while the sum is 48.

The spelling of 10457704478001 in words is "ten trillion, four hundred fifty-seven billion, seven hundred four million, four hundred seventy-eight thousand, one".

Divisors: 1 3 11 33 293 359 879 1077 1181 2551 3223 3543 3949 7653 9669 11847 12991 28061 38973 84183 105187 315561 346033 423979 747443 915809 1038099 1157057 1271937 2242329 2747427 3012731 3471171 3806363 4663769 8221873 9038193 10073899 11419089 13991307 24665619 30221697 33140041 99420123 124225847 268332037 372677541 804996111 882730183 1081570429 1366484317 2648190549 2951652407 3244711287 4099452951 8854957221 9710032013 11897274719 29130096039 35691824157 316900135697 950700407091 3485901492667 10457704478001