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16073034480 = 2432588125339
BaseRepresentation
bin11101111100000011…
…10000101011110000
31112111011020202021100
432332001300223300
5230404144100410
611214524524400
71106206352556
oct167601605360
945434222240
1016073034480
1168a8899778
1231469b0700
131691c47cb9
14ac6943bd6
156411208c0
hex3be070af0

16073034480 has 120 divisors (see below), whose sum is σ = 54042009840. Its totient is φ = 4281108480.

The previous prime is 16073034463. The next prime is 16073034493. The reversal of 16073034480 is 8443037061.

16073034480 is a `hidden beast` number, since 1 + 607 + 3 + 0 + 3 + 4 + 48 + 0 = 666.

16073034480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621651 + ... + 646989.

It is an arithmetic number, because the mean of its divisors is an integer number (450350082).

Almost surely, 216073034480 is an apocalyptic number.

16073034480 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 16073034480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27021004920).

16073034480 is an abundant number, since it is smaller than the sum of its proper divisors (37968975360).

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

16073034480 is a wasteful number, since it uses less digits than its factorization.

16073034480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26239 (or 26230 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 16073034480 in words is "sixteen billion, seventy-three million, thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 881 1762 2643 3524 4405 5286 7048 7929 8810 10572 13215 14096 15858 17620 21144 25339 26430 31716 35240 39645 42288 50678 52860 63432 70480 76017 79290 101356 105720 126695 126864 152034 158580 202712 211440 228051 253390 304068 317160 380085 405424 456102 506780 608136 634320 760170 912204 1013560 1140255 1216272 1520340 1824408 2027120 2280510 3040680 3648816 4561020 6081360 9122040 18244080 22323659 44647318 66970977 89294636 111618295 133941954 178589272 200912931 223236590 267883908 334854885 357178544 401825862 446473180 535767816 669709770 803651724 892946360 1004564655 1071535632 1339419540 1607303448 1785892720 2009129310 2678839080 3214606896 4018258620 5357678160 8036517240 16073034480