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2146397616 = 24361116729
BaseRepresentation
bin111111111101111…
…0110110110110000
312112120211022000000
41333323312312300
513343434210431
6552552430000
7104122035666
oct17773666660
95476738000
102146397616
11a01649330
124ba9a8300
132828b467c
141650c6c36
15c867e9e6
hex7fef6db0

2146397616 has 140 divisors (see below), whose sum is σ = 6802351080. Its totient is φ = 650384640.

The previous prime is 2146397609. The next prime is 2146397621. The reversal of 2146397616 is 6167936412.

2146397616 is a `hidden beast` number, since 2 + 1 + 4 + 639 + 7 + 6 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 119940 + ... + 136668.

It is an arithmetic number, because the mean of its divisors is an integer number (48588222).

Almost surely, 22146397616 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 2146397616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401175540).

2146397616 is an abundant number, since it is smaller than the sum of its proper divisors (4655953464).

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

2146397616 is a wasteful number, since it uses less digits than its factorization.

2146397616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16766 (or 16745 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 2146397616 is about 46329.2306864683. The cubic root of 2146397616 is about 1289.9416306743.

The spelling of 2146397616 in words is "two billion, one hundred forty-six million, three hundred ninety-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 729 792 891 972 1188 1296 1458 1584 1782 1944 2376 2673 2916 3564 3888 4752 5346 5832 7128 8019 10692 11664 14256 16038 16729 21384 32076 33458 42768 50187 64152 66916 100374 128304 133832 150561 184019 200748 267664 301122 368038 401496 451683 552057 602244 736076 802992 903366 1104114 1204488 1355049 1472152 1656171 1806732 2208228 2408976 2710098 2944304 3312342 3613464 4065147 4416456 4968513 5420196 6624684 7226928 8130294 8832912 9937026 10840392 12195441 13249368 14905539 16260588 19874052 21680784 24390882 26498736 29811078 32521176 39748104 44716617 48781764 59622156 65042352 79496208 89433234 97563528 119244312 134149851 178866468 195127056 238488624 268299702 357732936 536599404 715465872 1073198808 2146397616