Search a number
-
+
9057378672 = 2432193132573
BaseRepresentation
bin10000110111101110…
…01010000101110000
3212101020001111202100
420123313022011300
5122022142104142
64054431020400
7440310306546
oct103367120560
925336044670
109057378672
113928721721
12190936a700
13b14620084
1461ccadd96
15380262b4c
hex21bdca170

9057378672 has 60 divisors (see below), whose sum is σ = 25361986104. Its totient is φ = 3017470080.

The previous prime is 9057378667. The next prime is 9057378787. The reversal of 9057378672 is 2768737509.

9057378672 is a `hidden beast` number, since 9 + 0 + 573 + 7 + 8 + 67 + 2 = 666.

It is a super-2 number, since 2×90573786722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261778 + ... + 294350.

Almost surely, 29057378672 is an apocalyptic number.

It is an amenable number.

9057378672 is an abundant number, since it is smaller than the sum of its proper divisors (16304607432).

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

9057378672 is a wasteful number, since it uses less digits than its factorization.

9057378672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34518 (or 34509 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 9057378672 is about 95170.2614896061. The cubic root of 9057378672 is about 2084.4949231185.

The spelling of 9057378672 in words is "nine billion, fifty-seven million, three hundred seventy-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1931 3862 5793 7724 11586 15448 17379 23172 30896 32573 34758 46344 65146 69516 92688 97719 130292 139032 195438 260584 278064 293157 390876 521168 586314 781752 1172628 1563504 2345256 4690512 62898463 125796926 188695389 251593852 377390778 503187704 566086167 754781556 1006375408 1132172334 1509563112 2264344668 3019126224 4528689336 9057378672