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10914005376 = 273230673089
BaseRepresentation
bin10100010101000011…
…01000000110000000
31001011121121220210100
422022201220012000
5134322441133001
65002553002400
7534313341441
oct121241500600
931147556710
1010914005376
1146a074285a
1221470b3400
13104c178861
147576c72c8
1543d254586
hex28a868180

10914005376 has 96 divisors (see below), whose sum is σ = 31426597800. Its totient is φ = 3635638272.

The previous prime is 10914005353. The next prime is 10914005387. The reversal of 10914005376 is 67350041901.

10914005376 is a `hidden beast` number, since 109 + 14 + 0 + 0 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10914005376.

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, 3531640 + ... + 3534728.

Almost surely, 210914005376 is an apocalyptic number.

10914005376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10914005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713298900).

10914005376 is an abundant number, since it is smaller than the sum of its proper divisors (20512592424).

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

10914005376 is a wasteful number, since it uses less digits than its factorization.

10914005376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6176 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10914005376 in words is "ten billion, nine hundred fourteen million, five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3067 3089 6134 6178 9201 9267 12268 12356 18402 18534 24536 24712 27603 27801 36804 37068 49072 49424 55206 55602 73608 74136 98144 98848 110412 111204 147216 148272 196288 197696 220824 222408 294432 296544 392576 395392 441648 444816 588864 593088 883296 889632 1177728 1186176 1766592 1779264 3533184 3558528 9473963 18947926 28421889 37895852 56843778 75791704 85265667 113687556 151583408 170531334 227375112 303166816 341062668 454750224 606333632 682125336 909500448 1212667264 1364250672 1819000896 2728501344 3638001792 5457002688 10914005376