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35630715121 = 2322922832
BaseRepresentation
bin100001001011110000…
…011001000011110001
310101222011110212102121
4201023300121003301
51040432430340441
624211333514241
72400651036631
oct411360310361
9111864425377
1035630715121
1114124678701
126aa47a2981
13348aab4bb1
141a201aa6c1
15dd8118dd1
hex84bc190f1

35630715121 has 27 divisors (see below), whose sum is σ = 38712700299. Its totient is φ = 32790050832.

The previous prime is 35630715061. The next prime is 35630715163. The reversal of 35630715121 is 12151703653.

The square root of 35630715121 is 188761.

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., 18683882721 + 16946832400 = 136689^2 + 130180^2 .

It is not a de Polignac number, because 35630715121 - 219 = 35630190833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35630715521) 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, 125903446 + ... + 125903728.

Almost surely, 235630715121 is an apocalyptic number.

35630715121 is the 188761-st square number.

35630715121 is the 94381-st centered octagonal number.

It is an amenable number.

35630715121 is a deficient number, since it is larger than the sum of its proper divisors (3081985178).

35630715121 is an frugal number, since it uses more digits than its factorization.

35630715121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The spelling of 35630715121 in words is "thirty-five billion, six hundred thirty million, seven hundred fifteen thousand, one hundred twenty-one".

Divisors: 1 23 29 283 529 667 841 6509 8207 15341 19343 80089 149707 188761 238003 444889 1842047 2322581 4341503 5474069 42367081 53419363 67354849 125903587 1228645349 1549161527 35630715121