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133570980864 = 21032149211461
BaseRepresentation
bin111110001100101110…
…0110110110000000000
3110202202210100212110100
41330121130312300000
54142023132341424
6141210041402400
712436004414166
oct1743134666000
9422683325410
10133570980864
1151713377992
1221a78799400
13c798964269
146671863236
15371b5e1dc9
hex1f19736c00

133570980864 has 264 divisors, whose sum is σ = 390958167600. Its totient is φ = 43919769600.

The previous prime is 133570980847. The next prime is 133570980899. The reversal of 133570980864 is 468089075331.

133570980864 is a `hidden beast` number, since 1 + 3 + 3 + 570 + 9 + 8 + 0 + 8 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133570980864.

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 23 ways as a sum of consecutive naturals, for example, 289741594 + ... + 289742054.

It is an arithmetic number, because the mean of its divisors is an integer number (1480902150).

Almost surely, 2133570980864 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 133570980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195479083800).

133570980864 is an abundant number, since it is smaller than the sum of its proper divisors (257387186736).

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

133570980864 is a wasteful number, since it uses less digits than its factorization.

133570980864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 133570980864 in words is "one hundred thirty-three billion, five hundred seventy million, nine hundred eighty thousand, eight hundred sixty-four".