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116485007401 = 72487572
BaseRepresentation
bin110110001111100001…
…1000010100000101001
3102010200001002111010101
41230133003002200221
53402030130214101
6125302405545401
711262415140400
oct1543703024051
9363601074111
10116485007401
1145445828164
121a6aa715261
13aca4bcb8a9
1458d05a4637
15306b5d6401
hex1b1f0c2829

116485007401 has 9 divisors (see below), whose sum is σ = 135505746999. Its totient is φ = 99842244264.

The previous prime is 116485007389. The next prime is 116485007413. The reversal of 116485007401 is 104700584611.

The square root of 116485007401 is 341299.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (116485007389) and next prime (116485007413).

It can be written as a sum of positive squares in only one way, i.e., 20461872025 + 96023135376 = 143045^2 + 309876^2 .

It is not a de Polignac number, because 116485007401 - 27 = 116485007273 is a prime.

It is a super-2 number, since 2×1164850074012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116485007461) 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, 2364715 + ... + 2413471.

It is an arithmetic number, because the mean of its divisors is an integer number (15056194111).

Almost surely, 2116485007401 is an apocalyptic number.

116485007401 is the 341299-th square number.

116485007401 is the 170650-th centered octagonal number.

It is an amenable number.

116485007401 is a deficient number, since it is larger than the sum of its proper divisors (19020739598).

116485007401 is an frugal number, since it uses more digits than its factorization.

116485007401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97528 (or 48764 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 116485007401 in words is "one hundred sixteen billion, four hundred eighty-five million, seven thousand, four hundred one".

Divisors: 1 7 49 48757 341299 2389093 2377245049 16640715343 116485007401