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70032457440 = 25345112173771
BaseRepresentation
bin100000100111001000…
…0100111111011100000
320200202200102110010000
41001032100213323200
52121411302114230
652101130340000
75026320031521
oct1011620477340
9220680373100
1070032457440
1127778550900
12116a588a600
1367b10a003a
143565064848
151c4d3c2b60
hex104e427ee0

70032457440 has 1440 divisors, whose sum is σ = 299583168192. Its totient is φ = 15328051200.

The previous prime is 70032457427. The next prime is 70032457501. The reversal of 70032457440 is 4475423007.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×700324574402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 70032457395 and 70032457404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 986372605 + ... + 986372675.

Almost surely, 270032457440 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 70032457440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149791584096).

70032457440 is an abundant number, since it is smaller than the sum of its proper divisors (229550710752).

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

70032457440 is a wasteful number, since it uses less digits than its factorization.

70032457440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 70032457440 in words is "seventy billion, thirty-two million, four hundred fifty-seven thousand, four hundred forty".