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45501582721 = 723129832
BaseRepresentation
bin101010011000000110…
…110000110110000001
311100110002020220012111
4222120012300312001
51221141401121341
632523024455321
73200400033400
oct523006606601
9140402226174
1045501582721
111832a503621
12899a47a541
1343a1acb75a
1422b9117637
1512b49ba681
hexa981b0d81

45501582721 has 27 divisors (see below), whose sum is σ = 54748619073. Its totient is φ = 37704852360.

The previous prime is 45501582719. The next prime is 45501582739. The reversal of 45501582721 is 12728510554.

The square root of 45501582721 is 213311.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 45501582721 - 21 = 45501582719 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45501582761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46287996 + ... + 46288978.

Almost surely, 245501582721 is an apocalyptic number.

45501582721 is the 213311-st square number.

45501582721 is the 106656-th centered octagonal number.

It is an amenable number.

45501582721 is a deficient number, since it is larger than the sum of its proper divisors (9247036352).

45501582721 is an frugal number, since it uses more digits than its factorization.

45501582721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 40.

The spelling of 45501582721 in words is "forty-five billion, five hundred one million, five hundred eighty-two thousand, seven hundred twenty-one".

Divisors: 1 7 31 49 217 961 983 1519 6727 6881 30473 47089 48167 213311 944663 966289 1493177 6612641 6764023 29954959 46288487 47348161 209684713 928603729 1467792991 6500226103 45501582721