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76067142656 = 2101923169987
BaseRepresentation
bin100011011010111110…
…1000111110000000000
321021100020202012221212
41012311331013300000
52221241142031111
654540022505252
75332005021131
oct1066575076000
9237306665855
1076067142656
112a294a1215a
12128aa895228
1372333c14ab
143978701c88
151ea30ac98b
hex11b5f47c00

76067142656 has 88 divisors (see below), whose sum is σ = 167023409280. Its totient is φ = 34465001472.

The previous prime is 76067142647. The next prime is 76067142667. The reversal of 76067142656 is 65624176067.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362495 + ... + 532481.

Almost surely, 276067142656 is an apocalyptic number.

76067142656 is a gapful number since it is divisible by the number (76) 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 76067142656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83511704640).

76067142656 is an abundant number, since it is smaller than the sum of its proper divisors (90956266624).

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

76067142656 is a wasteful number, since it uses less digits than its factorization.

76067142656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170049 (or 170031 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 76067142656 in words is "seventy-six billion, sixty-seven million, one hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 368 437 512 608 736 874 1024 1216 1472 1748 2432 2944 3496 4864 5888 6992 9728 11776 13984 19456 23552 27968 55936 111872 169987 223744 339974 447488 679948 1359896 2719792 3229753 3909701 5439584 6459506 7819402 10879168 12919012 15638804 21758336 25838024 31277608 43516672 51676048 62555216 74284319 87033344 103352096 125110432 148568638 174066688 206704192 250220864 297137276 413408384 500441728 594274552 826816768 1000883456 1188549104 1653633536 2001766912 2377098208 3307267072 4003533824 4754196416 9508392832 19016785664 38033571328 76067142656