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67376800152 = 23327928014229
BaseRepresentation
bin111110101111111110…
…000110000110011000
320102220121100002011200
4332233332012012120
52100441430101102
650541422354200
74603442231454
oct765776060630
9212817302150
1067376800152
11266354a1212
121108442b960
136479b409ac
143392495664
151b4519b51c
hexfaff86198

67376800152 has 96 divisors (see below), whose sum is σ = 184898376000. Its totient is φ = 22161484800.

The previous prime is 67376800151. The next prime is 67376800171. The reversal of 67376800152 is 25100867376.

It is a junction number, because it is equal to n+sod(n) for n = 67376800098 and 67376800107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67376800151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15929974 + ... + 15934202.

It is an arithmetic number, because the mean of its divisors is an integer number (1926024750).

Almost surely, 267376800152 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 67376800152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92449188000).

67376800152 is an abundant number, since it is smaller than the sum of its proper divisors (117521575848).

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

67376800152 is a wasteful number, since it uses less digits than its factorization.

67376800152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7121 (or 7114 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 67376800152 in words is "sixty-seven billion, three hundred seventy-six million, eight hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2801 2844 4229 5602 5688 8403 8458 11204 12687 16806 16916 22408 25209 25374 33612 33832 38061 50418 50748 67224 76122 100836 101496 152244 201672 221279 304488 334091 442558 663837 668182 885116 1002273 1327674 1336364 1770232 1991511 2004546 2655348 2672728 3006819 3983022 4009092 5310696 6013638 7966044 8018184 11845429 12027276 15932088 23690858 24054552 35536287 47381716 71072574 94763432 106608861 142145148 213217722 284290296 426435444 852870888 935788891 1871577782 2807366673 3743155564 5614733346 7486311128 8422100019 11229466692 16844200038 22458933384 33688400076 67376800152