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377731930801 = 432142932
BaseRepresentation
bin1010111111100101001…
…00111101101010110001
31100002222210021020201011
411133302210331222301
522142043333241201
6445305550110521
736201356302321
oct5376244755261
91302883236634
10377731930801
11136216911425
12612597ab441
132980a0bb334
14143d49a1281
159c5b9b7151
hex57f293dab1

377731930801 has 9 divisors (see below), whose sum is σ = 386747742699. Its totient is φ = 368921654136.

The previous prime is 377731930799. The next prime is 377731930817. The reversal of 377731930801 is 108039137773.

The square root of 377731930801 is 614599.

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., 1320232225 + 376411698576 = 36335^2 + 613524^2 .

It is not a de Polignac number, because 377731930801 - 21 = 377731930799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (377731930861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26420611 + ... + 26434903.

It is an arithmetic number, because the mean of its divisors is an integer number (42971971411).

Almost surely, 2377731930801 is an apocalyptic number.

377731930801 is the 614599-th square number.

377731930801 is the 307300-th centered octagonal number.

It is an amenable number.

377731930801 is a deficient number, since it is larger than the sum of its proper divisors (9015811898).

377731930801 is an frugal number, since it uses more digits than its factorization.

377731930801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28672 (or 14336 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 49.

Multiplying 377731930801 by its sum of digits (49), we get a square (18508864609249 = 43021932).

The spelling of 377731930801 in words is "three hundred seventy-seven billion, seven hundred thirty-one million, nine hundred thirty thousand, eight hundred one".

Divisors: 1 43 1849 14293 614599 26427757 204289849 8784463507 377731930801