Search a number
-
+
1117568236801 = 151270012
BaseRepresentation
bin10000010000110100010…
…000011111110100000001
310221211122020210122222211
4100100310100133310001
5121302234432034201
62213223113502121
7143512245163552
oct20206420376401
93854566718884
101117568236801
113a0a5a153365
12160713411941
1381503725873
143c13a822329
151e10cebe651
hex1043441fd01

1117568236801 has 9 divisors (see below), whose sum is σ = 1125179081859. Its totient is φ = 1110008550000.

The previous prime is 1117568236781. The next prime is 1117568236877. The reversal of 1117568236801 is 1086328657111.

It is a happy number.

The square root of 1117568236801 is 1057151.

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., 472245214401 + 645323022400 = 687201^2 + 803320^2 .

It is a de Polignac number, because none of the positive numbers 2k-1117568236801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1117568236201) 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, 159626301 + ... + 159633301.

Almost surely, 21117568236801 is an apocalyptic number.

1117568236801 is the 1057151-st square number.

1117568236801 is the 528576-th centered octagonal number.

It is an amenable number.

1117568236801 is a deficient number, since it is larger than the sum of its proper divisors (7610845058).

1117568236801 is an frugal number, since it uses more digits than its factorization.

1117568236801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14304 (or 7152 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

Multiplying 1117568236801 by its sum of digits (49), we get a square (54760843603249 = 74000572).

The spelling of 1117568236801 in words is "one trillion, one hundred seventeen billion, five hundred sixty-eight million, two hundred thirty-six thousand, eight hundred one".

Divisors: 1 151 7001 22801 1057151 49014001 159629801 7401114151 1117568236801