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11426437152 = 2533131017311
BaseRepresentation
bin10101010010001000…
…11001100000100000
31002111022212011001000
422221010121200200
5141400131442102
65125500112000
7553105053564
oct125104314040
932438764030
1011426437152
114933a20399
12226a835600
131101394320
147a57976a4
1546d22601c
hex2a9119820

11426437152 has 96 divisors (see below), whose sum is σ = 35890767360. Its totient is φ = 3515823360.

The previous prime is 11426437133. The next prime is 11426437177. The reversal of 11426437152 is 25173462411.

11426437152 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 643 + 7 + 1 + 5 + 2 = 666.

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

It is a super-2 number, since 2×114264371522 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497424 + ... + 519887.

It is an arithmetic number, because the mean of its divisors is an integer number (373862160).

Almost surely, 211426437152 is an apocalyptic number.

11426437152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11426437152 is an abundant number, since it is smaller than the sum of its proper divisors (24464330208).

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

11426437152 is a wasteful number, since it uses less digits than its factorization.

11426437152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017343 (or 1017329 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

Adding to 11426437152 its reverse (25173462411), we get a palindrome (36599899563).

The spelling of 11426437152 in words is "eleven billion, four hundred twenty-six million, four hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 1017311 2034622 3051933 4069244 6103866 8138488 9155799 12207732 13225043 16276976 18311598 24415464 26450086 27467397 32553952 36623196 39675129 48830928 52900172 54934794 73246392 79350258 97661856 105800344 109869588 119025387 146492784 158700516 211600688 219739176 238050774 292985568 317401032 357076161 423201376 439478352 476101548 634802064 714152322 878956704 952203096 1269604128 1428304644 1904406192 2856609288 3808812384 5713218576 11426437152