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15116513440 = 255771190097
BaseRepresentation
bin11100001010000001…
…11011000010100000
31110000111101110002011
432011000323002200
5221424311412230
610535555202304
71043413146520
oct160500730240
943014343064
1015116513440
116457972316
122b1a5a6394
13156ba22012
14a358b3680
155d717be2a
hex38503b0a0

15116513440 has 96 divisors (see below), whose sum is σ = 41389657344. Its totient is φ = 5109780480.

The previous prime is 15116513437. The next prime is 15116513473. The reversal of 15116513440 is 4431561151.

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, 15529 + ... + 174568.

It is an arithmetic number, because the mean of its divisors is an integer number (431142264).

Almost surely, 215116513440 is an apocalyptic number.

15116513440 is a gapful number since it is divisible by the number (10) 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 15116513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20694828672).

15116513440 is an abundant number, since it is smaller than the sum of its proper divisors (26273143904).

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

15116513440 is a wasteful number, since it uses less digits than its factorization.

15116513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190190 (or 190182 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 15116513440 in words is "fifteen billion, one hundred sixteen million, five hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 71 80 112 140 142 160 224 280 284 355 497 560 568 710 994 1120 1136 1420 1988 2272 2485 2840 3976 4970 5680 7952 9940 11360 15904 19880 39760 79520 190097 380194 760388 950485 1330679 1520776 1900970 2661358 3041552 3801940 5322716 6083104 6653395 7603880 10645432 13306790 13496887 15207760 21290864 26613580 26993774 30415520 42581728 53227160 53987548 67484435 94478209 106454320 107975096 134968870 188956418 212908640 215950192 269937740 377912836 431900384 472391045 539875480 755825672 944782090 1079750960 1511651344 1889564180 2159501920 3023302688 3779128360 7558256720 15116513440