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9057201408 = 28331310359
BaseRepresentation
bin10000110111101100…
…11110110100000000
3212101012201111121000
420123312132310000
5122022120421113
64054423132000
7440305641003
oct103366366400
925335644530
109057201408
113928610522
1219092a4000
13b1458a498
1461cc6553a
1538022a373
hex21bd9ed00

9057201408 has 72 divisors (see below), whose sum is σ = 26783758400. Its totient is φ = 3019064832.

The previous prime is 9057201341. The next prime is 9057201421. The reversal of 9057201408 is 8041027509.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 648268 + ... + 662091.

Almost surely, 29057201408 is an apocalyptic number.

It is an amenable number.

9057201408 is an abundant number, since it is smaller than the sum of its proper divisors (17726556992).

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

9057201408 is a wasteful number, since it uses less digits than its factorization.

9057201408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310384 (or 1310364 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 9057201408 is about 95169.3301857274. The cubic root of 9057201408 is about 2084.4813243231.

The spelling of 9057201408 in words is "nine billion, fifty-seven million, two hundred one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 1310359 2620718 3931077 5241436 7862154 10482872 11793231 15724308 20965744 23586462 31448616 35379693 41931488 47172924 62897232 70759386 83862976 94345848 125794464 141518772 167725952 188691696 251588928 283037544 335451904 377383392 503177856 566075088 754766784 1006355712 1132150176 1509533568 2264300352 3019067136 4528600704 9057201408