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1137808672 = 257111335521
BaseRepresentation
bin100001111010001…
…1001010100100000
32221021222200001221
41003310121110200
54312234334142
6304523104424
740124133310
oct10364312440
92837880057
101137808672
11534299550
12279072114
1315195ac90
14ab181440
1569d53767
hex43d19520

1137808672 has 96 divisors (see below), whose sum is σ = 3007718784. Its totient is φ = 409190400.

The previous prime is 1137808631. The next prime is 1137808697. The reversal of 1137808672 is 2768087311.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14272 + ... + 49792.

It is an arithmetic number, because the mean of its divisors is an integer number (31330404).

Almost surely, 21137808672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137808672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503859392).

1137808672 is an abundant number, since it is smaller than the sum of its proper divisors (1869910112).

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

1137808672 is a wasteful number, since it uses less digits than its factorization.

1137808672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35562 (or 35554 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 1137808672 is about 33731.4196558639. The cubic root of 1137808672 is about 1043.9741531942.

The spelling of 1137808672 in words is "one billion, one hundred thirty-seven million, eight hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 8008 16016 32032 35521 71042 142084 248647 284168 390731 461773 497294 568336 781462 923546 994588 1136672 1562924 1847092 1989176 2735117 3125848 3232411 3694184 3978352 5079503 5470234 6251696 6464822 7388368 7956704 10159006 10940468 12503392 12929644 14776736 20318012 21880936 25859288 35556521 40636024 43761872 51718576 71113042 81272048 87523744 103437152 142226084 162544096 284452168 568904336 1137808672