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31677049971 = 34755867813
BaseRepresentation
bin11101100000000110…
…010110110001110011
310000202121221212110000
4131200012112301303
51004333311044341
622315141041043
72200662324240
oct354006266163
9100677855400
1031677049971
1112485961546
1261806b6183
132caa967568
1417670785c7
15c55e978b6
hex760196c73

31677049971 has 20 divisors (see below), whose sum is σ = 54080043952. Its totient is φ = 18101171088.

The previous prime is 31677049969. The next prime is 31677049973. The reversal of 31677049971 is 17994077613.

31677049971 is a `hidden beast` number, since 3 + 16 + 7 + 70 + 499 + 71 = 666.

It is an interprime number because it is at equal distance from previous prime (31677049969) and next prime (31677049973).

It is not a de Polignac number, because 31677049971 - 21 = 31677049969 is a prime.

It is a super-2 number, since 2×316770499712 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31677049973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27933340 + ... + 27934473.

Almost surely, 231677049971 is an apocalyptic number.

31677049971 is a deficient number, since it is larger than the sum of its proper divisors (22402993981).

31677049971 is an equidigital number, since it uses as much as digits as its factorization.

31677049971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55867832 (or 55867823 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 31677049971 in words is "thirty-one billion, six hundred seventy-seven million, forty-nine thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 55867813 167603439 391074691 502810317 1173224073 1508430951 3519672219 4525292853 10559016657 31677049971