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10544110464 = 273172955697
BaseRepresentation
bin10011101000111101…
…00101101110000000
31000012211121022100210
421310132211232000
5133043243013324
64502140514120
7522202313556
oct116436455600
930184538323
1010544110464
11452096a288
12206324b940
13cc0648024
1472051bbd6
1541aa3ad29
hex2747a5b80

10544110464 has 128 divisors (see below), whose sum is σ = 30678458400. Its totient is φ = 3193831424.

The previous prime is 10544110459. The next prime is 10544110471. The reversal of 10544110464 is 46401144501.

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

It is a super-2 number, since 2×105441104642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161464 + ... + 217160.

Almost surely, 210544110464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10544110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15339229200).

10544110464 is an abundant number, since it is smaller than the sum of its proper divisors (20134347936).

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

10544110464 is a wasteful number, since it uses less digits than its factorization.

10544110464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55760 (or 55748 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 10544110464 its reverse (46401144501), we get a palindrome (56945254965).

The spelling of 10544110464 in words is "ten billion, five hundred forty-four million, one hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 128 136 174 192 204 232 272 348 384 408 464 493 544 696 816 928 986 1088 1392 1479 1632 1856 1972 2176 2784 2958 3264 3712 3944 5568 5916 6528 7888 11136 11832 15776 23664 31552 47328 55697 63104 94656 111394 167091 189312 222788 334182 445576 668364 891152 946849 1336728 1615213 1782304 1893698 2673456 2840547 3230426 3564608 3787396 4845639 5346912 5681094 6460852 7129216 7574792 9691278 10693824 11362188 12921704 15149584 19382556 21387648 22724376 25843408 27458621 30299168 38765112 45448752 51686816 54917242 60598336 77530224 82375863 90897504 103373632 109834484 121196672 155060448 164751726 181795008 206747264 219668968 310120896 329503452 363590016 439337936 620241792 659006904 878675872 1318013808 1757351744 2636027616 3514703488 5272055232 10544110464