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11588091904 = 214294
BaseRepresentation
bin10101100101011010…
…00100000000000000
31002220121001001200001
422302231010000000
5142213022420104
65153513005344
7560110104334
oct126255040000
932817031601
1011588091904
114a071a2a64
1222b49b3854
131128a1401c
147bd0377c4
1547c508aa4
hex2b2b44000

11588091904 has 75 divisors (see below), whose sum is σ = 24003170947. Its totient is φ = 5594251264.

The previous prime is 11588091877. The next prime is 11588091917. The reversal of 11588091904 is 40919088511.

The square root of 11588091904 is 107648.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 27541504 + 11560550400 = 5248^2 + 107520^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=232.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 399589362 + ... + 399589390.

Almost surely, 211588091904 is an apocalyptic number.

11588091904 is the 107648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11588091904

11588091904 is an abundant number, since it is smaller than the sum of its proper divisors (12415079043).

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

11588091904 is an frugal number, since it uses more digits than its factorization.

11588091904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 46.

The spelling of 11588091904 in words is "eleven billion, five hundred eighty-eight million, ninety-one thousand, nine hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 841 928 1024 1682 1856 2048 3364 3712 4096 6728 7424 8192 13456 14848 16384 24389 26912 29696 48778 53824 59392 97556 107648 118784 195112 215296 237568 390224 430592 475136 707281 780448 861184 1414562 1560896 1722368 2829124 3121792 3444736 5658248 6243584 6889472 11316496 12487168 13778944 22632992 24974336 45265984 49948672 90531968 99897344 181063936 199794688 362127872 399589376 724255744 1448511488 2897022976 5794045952 11588091904