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5315738960 = 245713172461
BaseRepresentation
bin1001111001101011…
…11011110101010000
3111201110111111222202
410330311323311100
541341312121320
62235250422332
7245505015140
oct47465736520
914643444882
105315738960
1122886613a4
1210442919a8
136693aa48c
14385db0920
15211a23b75
hex13cd7bd50

5315738960 has 80 divisors (see below), whose sum is σ = 14232696192. Its totient is φ = 1808601600.

The previous prime is 5315738951. The next prime is 5315738971. The reversal of 5315738960 is 698375135.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37130 + ... + 109590.

Almost surely, 25315738960 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 5315738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7116348096).

5315738960 is an abundant number, since it is smaller than the sum of its proper divisors (8916957232).

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

5315738960 is a wasteful number, since it uses less digits than its factorization.

5315738960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72612 (or 72606 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 47.

The square root of 5315738960 is about 72909.1143822225. The cubic root of 5315738960 is about 1745.2375502746.

The spelling of 5315738960 in words is "five billion, three hundred fifteen million, seven hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 131 140 262 280 524 560 655 917 1048 1310 1834 2096 2620 3668 4585 5240 7336 9170 10480 14672 18340 36680 72461 73360 144922 289844 362305 507227 579688 724610 1014454 1159376 1449220 2028908 2536135 2898440 4057816 5072270 5796880 8115632 9492391 10144540 18984782 20289080 37969564 40578160 47461955 66446737 75939128 94923910 132893474 151878256 189847820 265786948 332233685 379695640 531573896 664467370 759391280 1063147792 1328934740 2657869480 5315738960