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357684136489 = 2924125032
BaseRepresentation
bin1010011010001111010…
…00101100101000101001
31021012020121210202222201
411031013220230220221
521330014114331424
6432152352220201
734561513665361
oct5150750545051
91235217722881
10357684136489
11128769408879
12593a383a661
132796384b254
14134521d79a1
159486959d44
hex5347a2ca29

357684136489 has 27 divisors (see below), whose sum is σ = 380455325029. Its totient is φ = 336257190080.

The previous prime is 357684136487. The next prime is 357684136493. The reversal of 357684136489 is 984631486753.

The square root of 357684136489 is 598067.

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

It can be written as a sum of positive squares in 4 ways, for example, as 94453572889 + 263230563600 = 307333^2 + 513060^2 .

It is not a de Polignac number, because 357684136489 - 21 = 357684136487 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 357684136489.

It is not an unprimeable number, because it can be changed into a prime (357684136487) 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, 711101412 + ... + 711101914.

Almost surely, 2357684136489 is an apocalyptic number.

357684136489 is the 598067-th square number.

357684136489 is the 299034-th centered octagonal number.

It is an amenable number.

357684136489 is a deficient number, since it is larger than the sum of its proper divisors (22771188540).

357684136489 is an frugal number, since it uses more digits than its factorization.

357684136489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 573 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 64.

Multiplying 357684136489 by its sum of digits (64), we get a square (22891784735296 = 47845362).

The spelling of 357684136489 in words is "three hundred fifty-seven billion, six hundred eighty-four million, one hundred thirty-six thousand, four hundred eighty-nine".

Divisors: 1 29 41 503 841 1189 1681 14587 20623 34481 48749 253009 423023 598067 845543 1413721 7337261 10373369 17343943 24520747 212780569 300827701 425308129 711101663 8724003329 12333935741 357684136489