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13160042882928 = 2433174327414131
BaseRepresentation
bin1011111110000000111110…
…1011100110011101110000
31201121002101000102100121000
42333200033223212131300
53211103231434223203
643553350143002000
72525532062560614
oct277401753463560
951532330370530
1013160042882928
114214163142497
121586607899300
13745ca9a8ab46
14336d414dd344
1517c4c9c954a3
hexbf80fae6770

13160042882928 has 160 divisors (see below), whose sum is σ = 40005548766720. Its totient is φ = 4127676779520.

The previous prime is 13160042882821. The next prime is 13160042882929. The reversal of 13160042882928 is 82928824006131.

13160042882928 is a `hidden beast` number, since 1 + 3 + 1 + 600 + 4 + 2 + 8 + 8 + 2 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13160042882929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31570423 + ... + 31984553.

It is an arithmetic number, because the mean of its divisors is an integer number (250034679792).

Almost surely, 213160042882928 is an apocalyptic number.

13160042882928 is a gapful number since it is divisible by the number (18) 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 13160042882928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20002774383360).

13160042882928 is an abundant number, since it is smaller than the sum of its proper divisors (26845505883792).

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

13160042882928 is a wasteful number, since it uses less digits than its factorization.

13160042882928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418492 (or 418480 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 13160042882928 in words is "thirteen trillion, one hundred sixty billion, forty-two million, eight hundred eighty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 4327 7344 8654 12981 17308 25962 34616 38943 51924 69232 73559 77886 103848 116829 147118 155772 207696 220677 233658 294236 311544 414131 441354 467316 588472 623088 662031 828262 882708 934632 1176944 1242393 1324062 1656524 1765416 1869264 1986093 2484786 2648124 3313048 3530832 3727179 3972186 4969572 5296248 6626096 7040227 7454358 7944372 9939144 10592496 11181537 14080454 14908716 15888744 19878288 21120681 22363074 28160908 29817432 31777488 42241362 44726148 56321816 59634864 63362043 84482724 89452296 112643632 126724086 168965448 178904592 190086129 253448172 337930896 380172258 506896344 760344516 1013792688 1520689032 1791944837 3041378064 3583889674 5375834511 7167779348 10751669022 14335558696 16127503533 21503338044 28671117392 30463062229 32255007066 43006676088 48382510599 60926124458 64510014132 86013352176 91389186687 96765021198 121852248916 129020028264 182778373374 193530042396 243704497832 258040056528 274167560061 365556746748 387060084792 487408995664 548335120122 731113493496 774120169584 822502680183 1096670240244 1462226986992 1645005360366 2193340480488 3290010720732 4386680960976 6580021441464 13160042882928