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11954360896 = 267921732
BaseRepresentation
bin10110010001000100…
…10001001001000000
31010212010020110021021
423020202101021000
5143440304022041
65254115235224
7602145251062
oct131042211100
933763213237
1011954360896
115084a1a305
1223975a8b14
13118687533a
1481593b732
1549e757cd1
hex2c8891240

11954360896 has 63 divisors (see below), whose sum is σ = 24165695001. Its totient is φ = 5867407104.

The previous prime is 11954360879. The next prime is 11954360953. The reversal of 11954360896 is 69806345911.

The square root of 11954360896 is 109336.

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

It can be written as a sum of positive squares in only one way, i.e., 10874318400 + 1080042496 = 104280^2 + 32864^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69100266 + ... + 69100438.

Almost surely, 211954360896 is an apocalyptic number.

11954360896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11954360896 is the 109336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11954360896

11954360896 is an abundant number, since it is smaller than the sum of its proper divisors (12211334105).

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

11954360896 is an frugal number, since it uses more digits than its factorization.

11954360896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 11954360896 in words is "eleven billion, nine hundred fifty-four million, three hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 79 158 173 316 346 632 692 1264 1384 2528 2768 5056 5536 6241 11072 12482 13667 24964 27334 29929 49928 54668 59858 99856 109336 119716 199712 218672 239432 399424 437344 478864 874688 957728 1079693 1915456 2159386 2364391 4318772 4728782 8637544 9457564 17275088 18915128 34550176 37830256 69100352 75660512 151321024 186786889 373573778 747147556 1494295112 2988590224 5977180448 11954360896