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138076470081 = 32112952391957
BaseRepresentation
bin1000000010010111111…
…1111011101101000001
3111012101210020102202100
42000211333323231001
54230240034020311
6143233105541013
712655443426234
oct2004577735501
9435353212670
10138076470081
11536156276a0
1222915644769
1310036210404
14697bd9b41b
1538d1e16a56
hex2025ffbb41

138076470081 has 48 divisors (see below), whose sum is σ = 225510442560. Its totient is φ = 80641733760.

The previous prime is 138076470071. The next prime is 138076470097. The reversal of 138076470081 is 180074670831.

138076470081 is a `hidden beast` number, since 1 + 38 + 0 + 76 + 470 + 0 + 81 = 666.

It is not a de Polignac number, because 138076470081 - 234 = 120896600897 is a prime.

It is a super-2 number, since 2×1380764700812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138076470041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1455555 + ... + 1547511.

It is an arithmetic number, because the mean of its divisors is an integer number (4698134220).

Almost surely, 2138076470081 is an apocalyptic number.

138076470081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

138076470081 is a deficient number, since it is larger than the sum of its proper divisors (87433972479).

138076470081 is a wasteful number, since it uses less digits than its factorization.

138076470081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92526 (or 92523 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 138076470081 in words is "one hundred thirty-eight billion, seventy-six million, four hundred seventy thousand, eighty-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 523 957 1569 2871 4707 5753 15167 17259 45501 51777 91957 136503 166837 275871 500511 827613 1011527 1501533 2666753 3034581 8000259 9103743 24000777 29334283 48093511 88002849 144280533 264008547 432841599 529028621 1394711819 1587085863 4184135457 4761257589 12552406371 15341830009 46025490027 138076470081