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5430957264 = 24321910918211
BaseRepresentation
bin1010000111011010…
…11101010011010000
3112000111022012210100
411003231131103100
542110311113024
62254524132400
7251404242435
oct50355352320
915014265710
105430957264
1123376a7637
121076997100
1368721baa5
14397403b8c
1521bbd27c9
hex143b5d4d0

5430957264 has 120 divisors (see below), whose sum is σ = 16146759200. Its totient is φ = 1699211520.

The previous prime is 5430957263. The next prime is 5430957269. The reversal of 5430957264 is 4627590345.

5430957264 is a `hidden beast` number, since 5 + 430 + 95 + 72 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430957263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289119 + ... + 307329.

Almost surely, 25430957264 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 5430957264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8073379600).

5430957264 is an abundant number, since it is smaller than the sum of its proper divisors (10715801936).

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

5430957264 is a wasteful number, since it uses less digits than its factorization.

5430957264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18353 (or 18344 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5430957264 is about 73695.0287604259. The cubic root of 5430957264 is about 1757.7568340454.

The spelling of 5430957264 in words is "five billion, four hundred thirty million, nine hundred fifty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 109 114 144 152 171 218 228 304 327 342 436 456 654 684 872 912 981 1308 1368 1744 1962 2071 2616 2736 3924 4142 5232 6213 7848 8284 12426 15696 16568 18211 18639 24852 33136 36422 37278 49704 54633 72844 74556 99408 109266 145688 149112 163899 218532 291376 298224 327798 346009 437064 655596 692018 874128 1038027 1311192 1384036 1984999 2076054 2622384 2768072 3114081 3969998 4152108 5536144 5954997 6228162 7939996 8304216 11909994 12456324 15879992 16608432 17864991 23819988 24912648 31759984 35729982 37714981 47639976 49825296 71459964 75429962 95279952 113144943 142919928 150859924 226289886 285839856 301719848 339434829 452579772 603439696 678869658 905159544 1357739316 1810319088 2715478632 5430957264