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7145042872 = 23111913132621
BaseRepresentation
bin1101010011110000…
…01011001110111000
3200102221122210012111
412221320023032320
5104113112332442
63140555022104
7342026601532
oct65170131670
920387583174
107145042872
113037210510
121474a3a934
1389b38a726
144bad14852
152bc419b17
hex1a9e0b3b8

7145042872 has 64 divisors (see below), whose sum is σ = 15501974400. Its totient is φ = 3053232000.

The previous prime is 7145042867. The next prime is 7145042893. The reversal of 7145042872 is 2782405417.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202722 + ... + 235342.

It is an arithmetic number, because the mean of its divisors is an integer number (242218350).

Almost surely, 27145042872 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 7145042872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7750987200).

7145042872 is an abundant number, since it is smaller than the sum of its proper divisors (8356931528).

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

7145042872 is a wasteful number, since it uses less digits than its factorization.

7145042872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32788 (or 32784 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The square root of 7145042872 is about 84528.3554317721. The cubic root of 7145042872 is about 1926.0532042481.

The spelling of 7145042872 in words is "seven billion, one hundred forty-five million, forty-two thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 131 152 209 262 418 524 836 1048 1441 1672 2489 2882 4978 5764 9956 11528 19912 27379 32621 54758 65242 109516 130484 219032 260968 358831 619799 717662 1239598 1435324 2479196 2870648 4273351 4958392 6817789 8546702 13635578 17093404 27271156 34186808 47006861 54542312 81193669 94013722 162387338 188027444 324774676 376054888 649549352 893130359 1786260718 3572521436 7145042872