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66786014970 = 23355316372851
BaseRepresentation
bin111110001100110000…
…011011011011111010
320101101102200002021000
4332030300123123322
52043234204434340
650403040025430
74553006521623
oct761460333372
9211342602230
1066786014970
1126361a675a4
1210b3a602276
1363b462046c
143337c2aa4a
151b0d39dd30
hexf8cc1b6fa

66786014970 has 128 divisors (see below), whose sum is σ = 181630874880. Its totient is φ = 17456774400.

The previous prime is 66786014863. The next prime is 66786014993. The reversal of 66786014970 is 7941068766.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23424045 + ... + 23426895.

It is an arithmetic number, because the mean of its divisors is an integer number (1418991210).

Almost surely, 266786014970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66786014970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90815437440).

66786014970 is an abundant number, since it is smaller than the sum of its proper divisors (114844859910).

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

66786014970 is a wasteful number, since it uses less digits than its factorization.

66786014970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4557 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 66786014970 in words is "sixty-six billion, seven hundred eighty-six million, fourteen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1431 1590 1637 2385 2851 2862 3274 4770 4911 5702 7155 8185 8553 9822 14255 14310 14733 16370 17106 24555 25659 28510 29466 42765 44199 49110 51318 73665 76977 85530 86761 88398 128295 147330 151103 153954 173522 220995 256590 260283 302206 384885 433805 441990 453309 520566 755515 769770 780849 867610 906618 1301415 1359927 1511030 1561698 2266545 2342547 2602830 2719854 3904245 4079781 4533090 4667087 4685094 6799635 7808490 8159562 9334174 11712735 13599270 14001261 20398905 23335435 23425470 28002522 40797810 42003783 46670870 70006305 84007566 126011349 140012610 210018915 247355611 252022698 420037830 494711222 630056745 742066833 1236778055 1260113490 1484133666 2226200499 2473556110 3710334165 4452400998 6678601497 7420668330 11131002495 13357202994 22262004990 33393007485 66786014970