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70014462336 = 27327131514423
BaseRepresentation
bin100000100110100101…
…1111110100110000000
320200201102120012110200
41001031023332212000
52121342200243321
652055244525200
75026011052620
oct1011513764600
9220642505420
1070014462336
112776937a915
121169b850800
1367aa43c350
1435628dc880
151c4ba1ad26
hex104d2fe980

70014462336 has 384 divisors, whose sum is σ = 249666493440. Its totient is φ = 18338918400.

The previous prime is 70014462313. The next prime is 70014462359. The reversal of 70014462336 is 63326441007.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (70014462313) and next prime (70014462359).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 70014462336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15827421 + ... + 15831843.

It is an arithmetic number, because the mean of its divisors is an integer number (650173160).

Almost surely, 270014462336 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 70014462336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124833246720).

70014462336 is an abundant number, since it is smaller than the sum of its proper divisors (179652031104).

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

70014462336 is a wasteful number, since it uses less digits than its factorization.

70014462336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614 (or 4599 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 70014462336 in words is "seventy billion, fourteen million, four hundred sixty-two thousand, three hundred thirty-six".