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70482889440 = 253251719151537
BaseRepresentation
bin100000110100100011…
…0111000101011100000
320201221001222202122200
41001221012320223200
52123322104430230
652213540533200
75043426450405
oct1015106705340
9221831882580
1070482889440
1127989832057
12117b06b1200
1368534bb552
1435a8bd62ac
151c77be9160
hex10691b8ae0

70482889440 has 288 divisors, whose sum is σ = 268076783520. Its totient is φ = 16758669312.

The previous prime is 70482889381. The next prime is 70482889441. The reversal of 70482889440 is 4498828407.

70482889440 is a `hidden beast` number, since 70 + 482 + 8 + 8 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×704828894402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70482889441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389352 + ... + 540888.

It is an arithmetic number, because the mean of its divisors is an integer number (930822165).

Almost surely, 270482889440 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 70482889440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134038391760).

70482889440 is an abundant number, since it is smaller than the sum of its proper divisors (197593894080).

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

70482889440 is a wasteful number, since it uses less digits than its factorization.

70482889440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151594 (or 151583 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 70482889440 in words is "seventy billion, four hundred eighty-two million, eight hundred eighty-nine thousand, four hundred forty".