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7121232096 = 2531114945259
BaseRepresentation
bin1101010000111010…
…10110000011100000
3200101021212001221220
412220131112003200
5104041013411341
63134344415040
7341320321416
oct65035260340
920337761856
107121232096
113024828090
121468a77480
13896471904
144b7ab72b6
152ba2b4a66
hex1a87560e0

7121232096 has 96 divisors (see below), whose sum is σ = 20529936000. Its totient is φ = 2143418880.

The previous prime is 7121232061. The next prime is 7121232133. The reversal of 7121232096 is 6902321217.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 134715 + ... + 179973.

It is an arithmetic number, because the mean of its divisors is an integer number (213853500).

Almost surely, 27121232096 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 7121232096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10264968000).

7121232096 is an abundant number, since it is smaller than the sum of its proper divisors (13408703904).

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

7121232096 is a wasteful number, since it uses less digits than its factorization.

7121232096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45432 (or 45424 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 7121232096 is about 84387.3929920815. The cubic root of 7121232096 is about 1923.9113062302.

The spelling of 7121232096 in words is "seven billion, one hundred twenty-one million, two hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 149 176 264 298 352 447 528 596 894 1056 1192 1639 1788 2384 3278 3576 4768 4917 6556 7152 9834 13112 14304 19668 26224 39336 45259 52448 78672 90518 135777 157344 181036 271554 362072 497849 543108 724144 995698 1086216 1448288 1493547 1991396 2172432 2987094 3982792 4344864 5974188 6743591 7965584 11948376 13487182 15931168 20230773 23896752 26974364 40461546 47793504 53948728 74179501 80923092 107897456 148359002 161846184 215794912 222538503 296718004 323692368 445077006 593436008 647384736 890154012 1186872016 1780308024 2373744032 3560616048 7121232096