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13456450176 = 2731314271889
BaseRepresentation
bin11001000100001000…
…10010001010000000
31021201210200111101120
430202010102022000
5210024322401201
610103134232240
7654314640111
oct144204221200
937653614346
1013456450176
1157858a7204
122736655680
131365b19570
14919226208
1553b566536
hex322112280

13456450176 has 128 divisors (see below), whose sum is σ = 38540577600. Its totient is φ = 4135354368.

The previous prime is 13456450171. The next prime is 13456450201. The reversal of 13456450176 is 67105465431.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (13456450171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7122640 + ... + 7124528.

Almost surely, 213456450176 is an apocalyptic number.

13456450176 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 13456450176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19270288800).

13456450176 is an abundant number, since it is smaller than the sum of its proper divisors (25084127424).

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

13456450176 is a wasteful number, since it uses less digits than its factorization.

13456450176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 13456450176 in words is "thirteen billion, four hundred fifty-six million, four hundred fifty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1427 1664 1889 2496 2854 3778 4281 4992 5667 5708 7556 8562 11334 11416 15112 17124 18551 22668 22832 24557 30224 34248 37102 45336 45664 49114 55653 60448 68496 73671 74204 90672 91328 98228 111306 120896 136992 147342 148408 181344 182656 196456 222612 241792 273984 294684 296816 362688 392912 445224 547968 589368 593632 725376 785824 890448 1178736 1187264 1571648 1780896 2357472 2374528 2695603 3143296 3561792 4714944 5391206 7123584 8086809 9429888 10782412 16173618 21564824 32347236 35042839 43129648 64694472 70085678 86259296 105128517 129388944 140171356 172518592 210257034 258777888 280342712 345037184 420514068 517555776 560685424 841028136 1035111552 1121370848 1682056272 2242741696 3364112544 4485483392 6728225088 13456450176