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67937379904 = 2631210512
BaseRepresentation
bin111111010001011000…
…100010011001000000
320111100200011111000201
4333101120202121000
52103113432124104
651113205454544
74623360125662
oct772130423100
9214320144021
1067937379904
11268a2975069
1211200111454
1365390168a4
143406ada532
151b794ce0a4
hexfd1622640

67937379904 has 63 divisors (see below), whose sum is σ = 139435005483. Its totient is φ = 32841648000.

The previous prime is 67937379877. The next prime is 67937379907. The reversal of 67937379904 is 40997373976.

The square root of 67937379904 is 260648.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67937379907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64640179 + ... + 64641229.

Almost surely, 267937379904 is an apocalyptic number.

67937379904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

67937379904 is the 260648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67937379904

67937379904 is an abundant number, since it is smaller than the sum of its proper divisors (71497625579).

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

67937379904 is an frugal number, since it uses more digits than its factorization.

67937379904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 54010152, while the sum is 64.

Multiplying 67937379904 by its sum of digits (64), we get a square (4347992313856 = 20851842).

67937379904 divided by its sum of digits (64) gives a square (1061521561 = 325812).

The spelling of 67937379904 in words is "sixty-seven billion, nine hundred thirty-seven million, three hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1051 1922 1984 2102 3844 4204 7688 8408 15376 16816 30752 32581 33632 61504 65162 67264 130324 260648 521296 1010011 1042592 1104601 2020022 2085184 2209202 4040044 4418404 8080088 8836808 16160176 17673616 32320352 34242631 35347232 64640704 68485262 70694464 136970524 273941048 547882096 1061521561 1095764192 2123043122 2191528384 4246086244 8492172488 16984344976 33968689952 67937379904