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38977674977 is a prime number
BaseRepresentation
bin100100010011010000…
…000001111011100001
310201121102101001012202
4210103100001323201
51114311241044402
625523414502545
72546621525243
oct442320017341
9121542331182
1038977674977
111559197712a
127679664a55
1338a2329907
141c5a8cc093
151031d95b02
hex913401ee1

38977674977 has 2 divisors, whose sum is σ = 38977674978. Its totient is φ = 38977674976.

The previous prime is 38977674949. The next prime is 38977675003. The reversal of 38977674977 is 77947677983.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38071424161 + 906250816 = 195119^2 + 30104^2 .

It is a cyclic number.

It is not a de Polignac number, because 38977674977 - 218 = 38977412833 is a prime.

It is a super-3 number, since 3×389776749773 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (38977674277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19488837488 + 19488837489.

It is an arithmetic number, because the mean of its divisors is an integer number (19488837489).

Almost surely, 238977674977 is an apocalyptic number.

It is an amenable number.

38977674977 is a deficient number, since it is larger than the sum of its proper divisors (1).

38977674977 is an equidigital number, since it uses as much as digits as its factorization.

38977674977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 784147392, while the sum is 74.

The spelling of 38977674977 in words is "thirty-eight billion, nine hundred seventy-seven million, six hundred seventy-four thousand, nine hundred seventy-seven".