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70884434880 = 26345741767
BaseRepresentation
bin100001000000100001…
…0101010001111000000
320202222001120101110000
41002001002222033000
52130132403404010
652321443240000
75056403520000
oct1020102521700
9222861511400
1070884434880
1128075463096
12118a3079000
1368b87513bc
143606280000
151c9d0b57c0
hex10810aa3c0

70884434880 has 1400 divisors, whose sum is σ = 316107549648. Its totient is φ = 15021490176.

The previous prime is 70884434861. The next prime is 70884434903. The reversal of 70884434880 is 8843448807.

It is a happy number.

70884434880 is a `hidden beast` number, since 7 + 0 + 88 + 443 + 48 + 80 = 666.

It is a super-2 number, since 2×708844348802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1057976607 + ... + 1057976673.

Almost surely, 270884434880 is an apocalyptic number.

70884434880 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 70884434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158053774824).

70884434880 is an abundant number, since it is smaller than the sum of its proper divisors (245223114768).

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

70884434880 is an equidigital number, since it uses as much as digits as its factorization.

70884434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 70884434880 in words is "seventy billion, eight hundred eighty-four million, four hundred thirty-four thousand, eight hundred eighty".