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5310144945 = 34572267581
BaseRepresentation
bin1001111001000001…
…00110000110110001
3111201001222022110000
410330200212012301
541333344114240
62234530500213
7245406326100
oct47440460661
914631868400
105310144945
112285490546
121042434669
1366819c201
14385356037
152112bb430
hex13c8261b1

5310144945 has 60 divisors (see below), whose sum is σ = 11073078324. Its totient is φ = 2427485760.

The previous prime is 5310144911. The next prime is 5310144997. The reversal of 5310144945 is 5494410135.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 825297984 + 4484846961 = 28728^2 + 66969^2 .

It is not a de Polignac number, because 5310144945 - 28 = 5310144689 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 113946 + ... + 153635.

Almost surely, 25310144945 is an apocalyptic number.

It is an amenable number.

5310144945 is an abundant number, since it is smaller than the sum of its proper divisors (5762933379).

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

5310144945 is a wasteful number, since it uses less digits than its factorization.

5310144945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267612 (or 267596 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5310144945 is about 72870.7413506958. The cubic root of 5310144945 is about 1744.6251354710.

The spelling of 5310144945 in words is "five billion, three hundred ten million, one hundred forty-four thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 405 441 567 735 945 1323 2205 2835 3969 6615 19845 267581 802743 1337905 1873067 2408229 4013715 5619201 7224687 9365335 12041145 13111469 16857603 21674061 28096005 36123435 39334407 50572809 65557345 84288015 108370305 118003221 151718427 196672035 252864045 354009663 590016105 758592135 1062028989 1770048315 5310144945