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8977752001 = 41223112
BaseRepresentation
bin10000101110001110…
…11001111111000001
3212011200020001111101
420113013121333001
5121341301031001
64042504214401
7435322430041
oct102707317701
925150201441
108977752001
113897785a59
1218a676a401
13b00c908ba
146124a3721
15378284a01
hex2171d9fc1

8977752001 has 9 divisors (see below), whose sum is σ = 9206045859. Its totient is φ = 8754992400.

The previous prime is 8977751977. The next prime is 8977752011. The reversal of 8977752001 is 1002577798.

The square root of 8977752001 is 94751.

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., 432598401 + 8545153600 = 20799^2 + 92440^2 .

It is not a de Polignac number, because 8977752001 - 211 = 8977749953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8977752011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3883636 + ... + 3885946.

Almost surely, 28977752001 is an apocalyptic number.

8977752001 is the 94751-st square number.

8977752001 is the 47376-th centered octagonal number.

It is an amenable number.

8977752001 is a deficient number, since it is larger than the sum of its proper divisors (228293858).

8977752001 is an frugal number, since it uses more digits than its factorization.

8977752001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 46.

The cubic root of 8977752001 is about 2078.3684197891.

It can be divided in two parts, 89777 and 52001, that added together give a triangular number (141778 = T532).

The spelling of 8977752001 in words is "eight billion, nine hundred seventy-seven million, seven hundred fifty-two thousand, one".

Divisors: 1 41 1681 2311 94751 3884791 5340721 218969561 8977752001