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138790946816 = 211232946479
BaseRepresentation
bin1000000101000010010…
…1011100100000000000
3111021020120122121120122
42001100211130200000
54233220440244231
6143432031355412
713012240403624
oct2012045344000
9437216577518
10138790946816
1153951964635
1222a94982b68
131011b24ac02
146a08c23184
1539249e877b
hex205095c800

138790946816 has 48 divisors (see below), whose sum is σ = 289580054400. Its totient is φ = 66378256384.

The previous prime is 138790946813. The next prime is 138790946941. The reversal of 138790946816 is 618649097831.

It is not an unprimeable number, because it can be changed into a prime (138790946813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1426136 + ... + 1520343.

It is an arithmetic number, because the mean of its divisors is an integer number (6032917800).

Almost surely, 2138790946816 is an apocalyptic number.

138790946816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138790946816 is an abundant number, since it is smaller than the sum of its proper divisors (150789107584).

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

138790946816 is an equidigital number, since it uses as much as digits as its factorization.

138790946816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946524 (or 2946504 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 62.

The spelling of 138790946816 in words is "one hundred thirty-eight billion, seven hundred ninety million, nine hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1472 2048 2944 5888 11776 23552 47104 2946479 5892958 11785916 23571832 47143664 67769017 94287328 135538034 188574656 271076068 377149312 542152136 754298624 1084304272 1508597248 2168608544 3017194496 4337217088 6034388992 8674434176 17348868352 34697736704 69395473408 138790946816