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45304696801 = 7213223392
BaseRepresentation
bin101010001100010111…
…101100111111100001
311022221100210001111101
4222030113230333201
51220241000244201
632451312514401
73162456366100
oct521427547741
9138840701441
1045304696801
1118239358291
12894454ba01
134370094a00
14229ad06037
1512a2578d01
hexa8c5ecfe1

45304696801 has 27 divisors (see below), whose sum is σ = 57091585491. Its totient is φ = 35830149264.

The previous prime is 45304696783. The next prime is 45304696849. The reversal of 45304696801 is 10869640354.

The square root of 45304696801 is 212849.

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

It can be written as a sum of positive squares in only one way, i.e., 6701878225 + 38602818576 = 81865^2 + 196476^2 .

It is not a de Polignac number, because 45304696801 - 25 = 45304696769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45304696861) 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, 19368090 + ... + 19370428.

Almost surely, 245304696801 is an apocalyptic number.

45304696801 is the 212849-th square number.

45304696801 is the 106425-th centered octagonal number.

It is an amenable number.

45304696801 is a deficient number, since it is larger than the sum of its proper divisors (11786888690).

45304696801 is an frugal number, since it uses more digits than its factorization.

45304696801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 45304696801 in words is "forty-five billion, three hundred four million, six hundred ninety-six thousand, eight hundred one".

Divisors: 1 7 13 49 91 169 637 1183 2339 8281 16373 30407 114611 212849 395291 1489943 2767037 5470921 19369259 38296447 71121973 268075129 497853811 924585649 3484976677 6472099543 45304696801