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70375213440 = 27325767109239
BaseRepresentation
bin100000110001010110…
…0001000100110000000
320201122120101020221200
41001202230020212000
52123112023312230
652155133021200
75040651305250
oct1014254104600
9221576336850
1070375213440
1127933a78524
1211780624800
1368370bac3c
1435987a7960
151c6d52a160
hex1062b08980

70375213440 has 768 divisors, whose sum is σ = 285652224000. Its totient is φ = 15634612224.

The previous prime is 70375213439. The next prime is 70375213477. The reversal of 70375213440 is 4431257307.

70375213440 is a `hidden beast` number, since 70 + 37 + 521 + 34 + 4 + 0 = 666.

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 = 70375213395 and 70375213404.

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 95 ways as a sum of consecutive naturals, for example, 294456841 + ... + 294457079.

It is an arithmetic number, because the mean of its divisors is an integer number (371943000).

Almost surely, 270375213440 is an apocalyptic number.

70375213440 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 70375213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142826112000).

70375213440 is an abundant number, since it is smaller than the sum of its proper divisors (215277010560).

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

70375213440 is a wasteful number, since it uses less digits than its factorization.

70375213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 70375213440 in words is "seventy billion, three hundred seventy-five million, two hundred thirteen thousand, four hundred forty".