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11257434468 = 22327193231463
BaseRepresentation
bin10100111101111111…
…01101000101100100
31002001112211220221100
422132333231011210
5141023400400333
65101021520100
7545653420440
oct123677550544
932045756840
1011257434468
11485758a155
122222113030
1310a5370c37
1478b163820
1545d491213
hex29efed164

11257434468 has 72 divisors (see below), whose sum is σ = 32690123648. Its totient is φ = 3199730688.

The previous prime is 11257434451. The next prime is 11257434491. The reversal of 11257434468 is 86443475211.

11257434468 is a `hidden beast` number, since 1 + 1 + 2 + 574 + 34 + 46 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67096 + ... + 164367.

Almost surely, 211257434468 is an apocalyptic number.

11257434468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11257434468 is an abundant number, since it is smaller than the sum of its proper divisors (21432689180).

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

11257434468 is a wasteful number, since it uses less digits than its factorization.

11257434468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231673 (or 231668 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 11257434468 in words is "eleven billion, two hundred fifty-seven million, four hundred thirty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 193 252 386 579 772 1158 1351 1737 2316 2702 3474 4053 5404 6948 8106 12159 16212 24318 48636 231463 462926 694389 925852 1388778 1620241 2083167 2777556 3240482 4166334 4860723 6480964 8332668 9721446 14582169 19442892 29164338 44672359 58328676 89344718 134017077 178689436 268034154 312706513 402051231 536068308 625413026 804102462 938119539 1250826052 1608204924 1876239078 2814358617 3752478156 5628717234 11257434468