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70997110800 = 2435271143107167
BaseRepresentation
bin100001000011111000…
…0011111000000010000
320210020220120220202020
41002013300133000100
52130400230021200
652340550251440
75062242325140
oct1020760370020
9223226526666
1070997110800
1128123022190
1211914956b80
136905bb2745
143617210920
151ca7e20ea0
hex1087c1f010

70997110800 has 960 divisors, whose sum is σ = 294605144064. Its totient is φ = 14189414400.

The previous prime is 70997110777. The next prime is 70997110801. The reversal of 70997110800 is 801179907.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (70997110801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 425132317 + ... + 425132483.

Almost surely, 270997110800 is an apocalyptic number.

70997110800 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 70997110800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147302572032).

70997110800 is an abundant number, since it is smaller than the sum of its proper divisors (223608033264).

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

70997110800 is a wasteful number, since it uses less digits than its factorization.

70997110800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 42.

The spelling of 70997110800 in words is "seventy billion, nine hundred ninety-seven million, one hundred ten thousand, eight hundred".