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66268876224 = 2632317386743
BaseRepresentation
bin111101101101111011…
…101100110111000000
320100001101120201021010
4331231323230313000
52041204313014344
650235444000520
74534130103525
oct755573546700
9210041521233
1066268876224
1126117064601
1210a15390140
1363314473c5
1432c929314c
151accc9c8b9
hexf6deecdc0

66268876224 has 112 divisors (see below), whose sum is σ = 184019415552. Its totient is φ = 21006830592.

The previous prime is 66268876217. The next prime is 66268876237. The reversal of 66268876224 is 42267886266.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720597 + ... + 807339.

It is an arithmetic number, because the mean of its divisors is an integer number (1643030496).

Almost surely, 266268876224 is an apocalyptic number.

66268876224 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 66268876224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92009707776).

66268876224 is an abundant number, since it is smaller than the sum of its proper divisors (117750539328).

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

66268876224 is a wasteful number, since it uses less digits than its factorization.

66268876224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86954 (or 86944 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 57.

The spelling of 66268876224 in words is "sixty-six billion, two hundred sixty-eight million, eight hundred seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 173 184 192 276 346 368 519 552 692 736 1038 1104 1384 1472 2076 2208 2768 3979 4152 4416 5536 7958 8304 11072 11937 15916 16608 23874 31832 33216 47748 63664 86743 95496 127328 173486 190992 254656 260229 346972 381984 520458 693944 763968 1040916 1387888 1995089 2081832 2775776 3990178 4163664 5551552 5985267 7980356 8327328 11970534 15006539 15960712 16654656 23941068 30013078 31921424 45019617 47882136 60026156 63842848 90039234 95764272 120052312 127685696 180078468 191528544 240104624 345150397 360156936 383057088 480209248 690300794 720313872 960418496 1035451191 1380601588 1440627744 2070902382 2761203176 2881255488 4141804764 5522406352 8283609528 11044812704 16567219056 22089625408 33134438112 66268876224