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12213606375144 = 23331731107295017
BaseRepresentation
bin1011000110111011001110…
…1010110101111011101000
31121020121110020011021002000
42301232303222311323220
53100101431213001034
641550504152011000
72400255360154506
oct261566352657350
947217406137060
1012213606375144
113989841433039
1214530b4090a60
136a79798cbcc5
143031dab91676
15162a85b73599
hexb1bb3ab5ee8

12213606375144 has 128 divisors (see below), whose sum is σ = 37081158220800. Its totient is φ = 3708115752960.

The previous prime is 12213606375137. The next prime is 12213606375149. The reversal of 12213606375144 is 44157360631221.

12213606375144 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 6 + 0 + 637 + 5 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×122136063751442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12213606375144.

It is not an unprimeable number, because it can be changed into a prime (12213606375149) 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, 53533677 + ... + 53761340.

It is an arithmetic number, because the mean of its divisors is an integer number (289696548600).

Almost surely, 212213606375144 is an apocalyptic number.

It is an amenable number.

12213606375144 is an abundant number, since it is smaller than the sum of its proper divisors (24867551845656).

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

12213606375144 is a wasteful number, since it uses less digits than its factorization.

12213606375144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107295080 (or 107295070 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12213606375144 in words is "twelve trillion, two hundred thirteen billion, six hundred six million, three hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 31 34 36 51 54 62 68 72 93 102 108 124 136 153 186 204 216 248 279 306 372 408 459 527 558 612 744 837 918 1054 1116 1224 1581 1674 1836 2108 2232 3162 3348 3672 4216 4743 6324 6696 9486 12648 14229 18972 28458 37944 56916 113832 107295017 214590034 321885051 429180068 643770102 858360136 965655153 1287540204 1824015289 1931310306 2575080408 2896965459 3326145527 3648030578 3862620612 5472045867 5793930918 6652291054 7296061156 7725241224 9978436581 10944091734 11587861836 13304582108 14592122312 16416137601 19956873162 21888183468 23175723672 26609164216 29935309743 32832275202 39913746324 43776366936 49248412803 56544473959 59870619486 65664550404 79827492648 89805929229 98496825606 113088947918 119741238972 131329100808 169633421877 179611858458 196993651212 226177895836 239482477944 339266843754 359223716916 393987302424 452355791672 508900265631 678533687508 718447433832 1017800531262 1357067375016 1526700796893 2035601062524 3053401593786 4071202125048 6106803187572 12213606375144