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38358667280664 = 23323711714353511
BaseRepresentation
bin10001011100011000100101…
…01111001100000100011000
312000211001102110211211121100
420232030102233030010120
520011432022310440124
6213325421203511400
711036215351112523
oct1056142257140430
9160731373754540
1038358667280664
1111249901742905
124376200088560
13185328c469563
149687d8623bba
15467be4b4b1c9
hex22e312bcc118

38358667280664 has 48 divisors (see below), whose sum is σ = 103890863391120. Its totient is φ = 12785877051840.

The previous prime is 38358667280663. The next prime is 38358667280761. The reversal of 38358667280664 is 46608276685383.

38358667280664 is a `hidden beast` number, since 38 + 3 + 586 + 6 + 7 + 2 + 8 + 0 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 38358667280592 and 38358667280601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38358667280663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4504332 + ... + 9849179.

It is an arithmetic number, because the mean of its divisors is an integer number (2164392987315).

Almost surely, 238358667280664 is an apocalyptic number.

It is an amenable number.

38358667280664 is an abundant number, since it is smaller than the sum of its proper divisors (65532196110456).

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

38358667280664 is a wasteful number, since it uses less digits than its factorization.

38358667280664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14390640 (or 14390633 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 72.

The spelling of 38358667280664 in words is "thirty-eight trillion, three hundred fifty-eight billion, six hundred sixty-seven million, two hundred eighty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 37117 74234 111351 148468 222702 296936 334053 445404 668106 890808 1336212 2672424 14353511 28707022 43060533 57414044 86121066 114828088 129181599 172242132 258363198 344484264 516726396 1033452792 532759267787 1065518535574 1598277803361 2131037071148 3196555606722 4262074142296 4794833410083 6393111213444 9589666820166 12786222426888 19179333640332 38358667280664