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67121033056 = 2571181133589
BaseRepresentation
bin111110100000101110…
…011010111101100000
320102020210001202200021
4332200232122331200
52044430441024211
650500204403224
74564215240010
oct764056327540
9212223052607
1067121033056
1126514089650
1211012846514
136438b5c30c
14336a517c40
151b2c9c8771
hexfa0b9af60

67121033056 has 96 divisors (see below), whose sum is σ = 164959683840. Its totient is φ = 26118028800.

The previous prime is 67121033041. The next prime is 67121033087. The reversal of 67121033056 is 65033012176.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1981510 + ... + 2015098.

It is an arithmetic number, because the mean of its divisors is an integer number (1718330040).

Almost surely, 267121033056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67121033056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82479841920).

67121033056 is an abundant number, since it is smaller than the sum of its proper divisors (97838650784).

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

67121033056 is a wasteful number, since it uses less digits than its factorization.

67121033056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34428 (or 34420 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The spelling of 67121033056 in words is "sixty-seven billion, one hundred twenty-one million, thirty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 811 1232 1622 2464 3244 5677 6488 8921 11354 12976 17842 22708 25952 33589 35684 45416 62447 67178 71368 90832 124894 134356 142736 181664 235123 249788 268712 285472 369479 470246 499576 537424 738958 940492 999152 1074848 1477916 1880984 1998304 2586353 2955832 3761968 5172706 5911664 7523936 10345412 11823328 20690824 27240679 41381648 54481358 82763296 108962716 190684753 217925432 299647469 381369506 435850864 599294938 762739012 871701728 1198589876 1525478024 2097532283 2397179752 3050956048 4195064566 4794359504 6101912096 8390129132 9588719008 16780258264 33560516528 67121033056