Search a number
-
+
1133496656964 = 223272253492
BaseRepresentation
bin10000011111101001101…
…010100110010001000100
311000100202022221020201100
4100133221222212101010
5122032400121010324
62224415435100100
7144615050420400
oct20375152462104
94010668836640
101133496656964
113a7793349171
121638198a1630
1382b71709159
143cc0c080100
151e7415764c9
hex107e9aa6444

1133496656964 has 81 divisors (see below), whose sum is σ = 3333151422237. Its totient is φ = 323843411808.

The previous prime is 1133496656923. The next prime is 1133496656977. The reversal of 1133496656964 is 4696566943311.

It is a happy number.

The square root of 1133496656964 is 1064658.

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

1133496656964 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 4 + 9 + 6 + 6 + 569 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 426484751364 + 707011905600 = 653058^2 + 840840^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44702962 + ... + 44728310.

Almost surely, 21133496656964 is an apocalyptic number.

1133496656964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1133496656964 is the 1064658-th square number.

It is an amenable number.

1133496656964 is an abundant number, since it is smaller than the sum of its proper divisors (2199654765273).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1133496656964 is an frugal number, since it uses more digits than its factorization.

1133496656964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50722 (or 25361 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 63.

The spelling of 1133496656964 in words is "one trillion, one hundred thirty-three billion, four hundred ninety-six million, six hundred fifty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 25349 50698 76047 101396 152094 177443 228141 304188 354886 456282 532329 709772 912564 1064658 1242101 1596987 2129316 2484202 3193974 3726303 4968404 6387948 7452606 11178909 14905212 22357818 44715636 642571801 1285143602 1927715403 2570287204 3855430806 4498002607 5783146209 7710861612 8996005214 11566292418 13494007821 17992010428 23132584836 26988015642 31486018249 40482023463 53976031284 62972036498 80964046926 94458054747 125944072996 161928093852 188916109494 283374164241 377832218988 566748328482 1133496656964