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66970656 = 25321271831
BaseRepresentation
bin1111111101111…
…0010000100000
311200000110110200
43333132100200
5114121030111
610351225200
71442145504
oct377362040
9150013420
1066970656
1134892055
121a518200
1310b4aa0c
148c74304
155d2d256
hex3fde420

66970656 has 72 divisors (see below), whose sum is σ = 192052224. Its totient is φ = 22135680.

The previous prime is 66970637. The next prime is 66970699. The reversal of 66970656 is 65607966.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35661 + ... + 37491.

It is an arithmetic number, because the mean of its divisors is an integer number (2667392).

Almost surely, 266970656 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 66970656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96026112).

66970656 is an abundant number, since it is smaller than the sum of its proper divisors (125081568).

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

66970656 is a wasteful number, since it uses less digits than its factorization.

66970656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 66970656 is about 8183.5601054798. The cubic root of 66970656 is about 406.0955068251.

The spelling of 66970656 in words is "sixty-six million, nine hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1143 1524 1831 2032 2286 3048 3662 4064 4572 5493 6096 7324 9144 10986 12192 14648 16479 18288 21972 29296 32958 36576 43944 58592 65916 87888 131832 175776 232537 263664 465074 527328 697611 930148 1395222 1860296 2092833 2790444 3720592 4185666 5580888 7441184 8371332 11161776 16742664 22323552 33485328 66970656