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923138470656 = 2833133555913
BaseRepresentation
bin11010110111011110101…
…01110011001100000000
310021020210002220011212000
431123233111303030000
5110111041422030111
61544030045104000
7123460142350443
oct15335725631400
93236702804760
10923138470656
11326556667316
1212aab1258000
136908943b46c
143297443b65a
151902da8ec56
hexd6ef573300

923138470656 has 72 divisors (see below), whose sum is σ = 2729882882160. Its totient is φ = 307712821248.

The previous prime is 923138470651. The next prime is 923138470673. The reversal of 923138470656 is 656074831329.

923138470656 is a `hidden beast` number, since 92 + 3 + 1 + 38 + 470 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (923138470651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66771045 + ... + 66784868.

It is an arithmetic number, because the mean of its divisors is an integer number (37915040030).

It is a 1-persistent number, because it is pandigital, but 2⋅923138470656 = 1846276941312 is not.

Almost surely, 2923138470656 is an apocalyptic number.

923138470656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

923138470656 is an abundant number, since it is smaller than the sum of its proper divisors (1806744411504).

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

923138470656 is a wasteful number, since it uses less digits than its factorization.

923138470656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133555938 (or 133555918 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 923138470656 in words is "nine hundred twenty-three billion, one hundred thirty-eight million, four hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 133555913 267111826 400667739 534223652 801335478 1068447304 1202003217 1602670956 2136894608 2404006434 3205341912 3606009651 4273789216 4808012868 6410683824 7212019302 8547578432 9616025736 12821367648 14424038604 17095156864 19232051472 25642735296 28848077208 34190313728 38464102944 51285470592 57696154416 76928205888 102570941184 115392308832 153856411776 230784617664 307712823552 461569235328 923138470656