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67379400704 = 212711213637
BaseRepresentation
bin111110110000001000…
…000001000000000000
320102220210020012110102
4332300020001000000
52100443111310304
650541554221532
74603503312320
oct766010010000
9212823205412
1067379400704
1126636a08030
12110852848a8
13647a541595
143392971280
151b45511d1e
hexfb0201000

67379400704 has 104 divisors (see below), whose sum is σ = 167991250368. Its totient is φ = 26251591680.

The previous prime is 67379400689. The next prime is 67379400721. The reversal of 67379400704 is 40700497376.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208574 + ... + 422210.

Almost surely, 267379400704 is an apocalyptic number.

67379400704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67379400704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83995625184).

67379400704 is an abundant number, since it is smaller than the sum of its proper divisors (100611849664).

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

67379400704 is a wasteful number, since it uses less digits than its factorization.

67379400704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213679 (or 213657 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 47.

The spelling of 67379400704 in words is "sixty-seven billion, three hundred seventy-nine million, four hundred thousand, seven hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1024 1232 1408 1792 2048 2464 2816 3584 4096 4928 5632 7168 9856 11264 14336 19712 22528 28672 39424 45056 78848 157696 213637 315392 427274 854548 1495459 1709096 2350007 2990918 3418192 4700014 5981836 6836384 9400028 11963672 13672768 16450049 18800056 23927344 27345536 32900098 37600112 47854688 54691072 65800196 75200224 95709376 109382144 131600392 150400448 191418752 218764288 263200784 300800896 382837504 437528576 526401568 601601792 765675008 875057152 1052803136 1203203584 1531350016 2105606272 2406407168 3062700032 4211212544 4812814336 6125400064 8422425088 9625628672 16844850176 33689700352 67379400704