Search a number
-
+
70959994560 = 26325713733709
BaseRepresentation
bin100001000010110001…
…0111001011011000000
320210011022202012211200
41002011202321123000
52130311224311220
652333142541200
75061312000420
oct1020542713300
9223138665750
1070959994560
1128104081204
1211904437800
1368cb2b8680
14361230c480
151ca4a3d890
hex10858b96c0

70959994560 has 672 divisors, whose sum is σ = 304594442880. Its totient is φ = 14762704896.

The previous prime is 70959994531. The next prime is 70959994591. The reversal of 70959994560 is 6549995907.

70959994560 is a `hidden beast` number, since 7 + 0 + 95 + 9 + 99 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19129986 + ... + 19133694.

It is an arithmetic number, because the mean of its divisors is an integer number (453265540).

Almost surely, 270959994560 is an apocalyptic number.

70959994560 is a gapful number since it is divisible by the number (70) 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 70959994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152297221440).

70959994560 is an abundant number, since it is smaller than the sum of its proper divisors (233634448320).

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

70959994560 is a wasteful number, since it uses less digits than its factorization.

70959994560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 63.

The spelling of 70959994560 in words is "seventy billion, nine hundred fifty-nine million, nine hundred ninety-four thousand, five hundred sixty".