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7121664440 = 23511157103093
BaseRepresentation
bin1101010000111101…
…11111100110111000
3200101022200001000122
412220132333212320
5104041121230230
63134401552412
7341324102042
oct65036774670
920338601018
107121664440
113024aa29a0
121469045708
13896593637
144b7b8aa92
152ba34cbe5
hex1a87bf9b8

7121664440 has 64 divisors (see below), whose sum is σ = 17591960160. Its totient is φ = 2573176320.

The previous prime is 7121664413. The next prime is 7121664499. The reversal of 7121664440 is 444661217.

It is a self number, because there is not a number n which added to its sum of digits gives 7121664440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17534 + ... + 120626.

Almost surely, 27121664440 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 7121664440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8795980080).

7121664440 is an abundant number, since it is smaller than the sum of its proper divisors (10470295720).

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

7121664440 is a wasteful number, since it uses less digits than its factorization.

7121664440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103272 (or 103268 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 7121664440 is about 84389.9546154636. The cubic root of 7121664440 is about 1923.9502402548.

The spelling of 7121664440 in words is "seven billion, one hundred twenty-one million, six hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 220 314 440 628 785 1256 1570 1727 3140 3454 6280 6908 8635 13816 17270 34540 69080 103093 206186 412372 515465 824744 1030930 1134023 2061860 2268046 4123720 4536092 5670115 9072184 11340230 16185601 22680460 32371202 45360920 64742404 80928005 129484808 161856010 178041611 323712020 356083222 647424040 712166444 890208055 1424332888 1780416110 3560832220 7121664440