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66763733952 = 2631139533229
BaseRepresentation
bin111110001011011011…
…011011101111000000
320101022212202002110010
4332023123123233000
52043213003441302
650400522304520
74552316242446
oct761333335700
9211285662403
1066763733952
1126350429533
1210b33058140
1363acb1ba26
143334caab96
151b0b44c16c
hexf8b6dbbc0

66763733952 has 112 divisors (see below), whose sum is σ = 178451195040. Its totient is φ = 22027665408.

The previous prime is 66763733923. The next prime is 66763733977. The reversal of 66763733952 is 25933736766.

It is a junction number, because it is equal to n+sod(n) for n = 66763733892 and 66763733901.

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, 20674674 + ... + 20677902.

Almost surely, 266763733952 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 66763733952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89225597520).

66763733952 is an abundant number, since it is smaller than the sum of its proper divisors (111687461088).

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

66763733952 is a wasteful number, since it uses less digits than its factorization.

66763733952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4300 counting only the distinct ones).

The product of its digits is 25719120, while the sum is 57.

The spelling of 66763733952 in words is "sixty-six billion, seven hundred sixty-three million, seven hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 953 1356 1808 1906 2712 2859 3229 3616 3812 5424 5718 6458 7232 7624 9687 10848 11436 12916 15248 19374 21696 22872 25832 30496 38748 45744 51664 60992 77496 91488 103328 107689 154992 182976 206656 215378 309984 323067 364877 430756 619968 646134 729754 861512 1094631 1292268 1459508 1723024 2189262 2584536 2919016 3077237 3446048 4378524 5169072 5838032 6154474 6892096 8757048 9231711 10338144 11676064 12308948 17514096 18463422 20676288 23352128 24617896 35028192 36926844 49235792 70056384 73853688 98471584 147707376 196943168 295414752 347727781 590829504 695455562 1043183343 1390911124 2086366686 2781822248 4172733372 5563644496 8345466744 11127288992 16690933488 22254577984 33381866976 66763733952