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15906485920 = 2551327128219
BaseRepresentation
bin11101101000001100…
…11011011010100000
31112001112212012121011
432310012123122200
5230034030022140
611150215110304
71102114620343
oct166406333240
945045765534
1015906485920
116822884336
1230bb072394
1316665a3960
14aac78c45a
156316c2cea
hex3b419b6a0

15906485920 has 96 divisors (see below), whose sum is σ = 40620545280. Its totient is φ = 5851284480.

The previous prime is 15906485909. The next prime is 15906485939. The reversal of 15906485920 is 2958460951.

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, 549571 + ... + 577789.

It is an arithmetic number, because the mean of its divisors is an integer number (423130680).

Almost surely, 215906485920 is an apocalyptic number.

15906485920 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 15906485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20310272640).

15906485920 is an abundant number, since it is smaller than the sum of its proper divisors (24714059360).

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

15906485920 is a wasteful number, since it uses less digits than its factorization.

15906485920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28518 (or 28510 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 15906485920 in words is "fifteen billion, nine hundred six million, four hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 271 416 520 542 1040 1084 1355 2080 2168 2710 3523 4336 5420 7046 8672 10840 14092 17615 21680 28184 28219 35230 43360 56368 56438 70460 112736 112876 140920 141095 225752 281840 282190 366847 451504 563680 564380 733694 903008 1128760 1467388 1834235 2257520 2934776 3668470 4515040 5869552 7336940 7647349 11739104 14673880 15294698 29347760 30589396 38236745 58695520 61178792 76473490 99415537 122357584 152946980 198831074 244715168 305893960 397662148 497077685 611787920 795324296 994155370 1223575840 1590648592 1988310740 3181297184 3976621480 7953242960 15906485920