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39290771961 = 327294392
BaseRepresentation
bin100100100101111010…
…011001100111111001
310202102020112000112100
4210211322121213321
51120431414200321
630014441334013
72560443023400
oct444572314771
9122366460470
1039290771961
1115732686571
127746497309
133922161abc
141c8a310637
15104e5e0326
hex925e999f9

39290771961 has 27 divisors (see below), whose sum is σ = 66026183301. Its totient is φ = 22449491064.

The previous prime is 39290771941. The next prime is 39290771981. The reversal of 39290771961 is 16917709293.

It is a happy number.

The square root of 39290771961 is 198219.

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

It is an interprime number because it is at equal distance from previous prime (39290771941) and next prime (39290771981).

It is not a de Polignac number, because 39290771961 - 27 = 39290771833 is a prime.

It is a super-2 number, since 2×392907719612 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 39290771898 and 39290771907.

It is not an unprimeable number, because it can be changed into a prime (39290771941) 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, 4157880 + ... + 4167318.

Almost surely, 239290771961 is an apocalyptic number.

39290771961 is the 198219-th square number.

39290771961 is the 99110-th centered octagonal number.

It is an amenable number.

39290771961 is a deficient number, since it is larger than the sum of its proper divisors (26735411340).

39290771961 is an frugal number, since it uses more digits than its factorization.

39290771961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18898 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 39290771961 in words is "thirty-nine billion, two hundred ninety million, seven hundred seventy-one thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 441 9439 28317 66073 84951 198219 462511 594657 1387533 4162599 89094721 267284163 623663047 801852489 1870989141 4365641329 5612967423 13096923987 39290771961