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138838421776 = 2461933294211
BaseRepresentation
bin1000000101001101101…
…0100011000100010000
3111021100212222120222111
42001103122203010100
54233320113444101
6143440445115104
713013355053605
oct2012332430420
9437325876874
10138838421776
115397674023a
1222aa8858a94
1310128030bc2
146a112606ac
153928c75251
hex20536a3110

138838421776 has 40 divisors (see below), whose sum is σ = 269578951200. Its totient is φ = 69269790720.

The previous prime is 138838421767. The next prime is 138838421803. The reversal of 138838421776 is 677124838831.

It is a super-2 number, since 2×1388384217762 (a number of 23 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 138838421776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32968311 + ... + 32972521.

It is an arithmetic number, because the mean of its divisors is an integer number (6739473780).

Almost surely, 2138838421776 is an apocalyptic number.

138838421776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138838421776 is a deficient number, since it is larger than the sum of its proper divisors (130740529424).

138838421776 is a wasteful number, since it uses less digits than its factorization.

138838421776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8167 (or 8161 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 58.

The spelling of 138838421776 in words is "one hundred thirty-eight billion, eight hundred thirty-eight million, four hundred twenty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 619 1238 2476 3329 4211 4952 6658 8422 9904 13316 16844 26632 33688 53264 67376 2060651 2606609 4121302 5213218 8242604 10426436 14018419 16485208 20852872 28036838 32970416 41705744 56073676 112147352 224294704 8677401361 17354802722 34709605444 69419210888 138838421776