Search a number
-
+
116362360224 = 25321136730543
BaseRepresentation
bin110110001011110111…
…1001011010110100000
3102010100111022100211100
41230113233023112200
53401302231011344
6125242305114400
711256365512425
oct1542757132640
9363314270740
10116362360224
1145392578560
121a675628a00
13ac85688ab6
1458bc199d4c
15306095b569
hex1b17bcb5a0

116362360224 has 72 divisors (see below), whose sum is σ = 360987786432. Its totient is φ = 35261320320.

The previous prime is 116362360171. The next prime is 116362360319. The reversal of 116362360224 is 422063263611.

116362360224 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 6 + 23 + 602 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18362104 + ... + 18368439.

It is an arithmetic number, because the mean of its divisors is an integer number (5013719256).

Almost surely, 2116362360224 is an apocalyptic number.

It is an amenable number.

116362360224 is an abundant number, since it is smaller than the sum of its proper divisors (244625426208).

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

116362360224 is a wasteful number, since it uses less digits than its factorization.

116362360224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36730570 (or 36730559 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 116362360224 in words is "one hundred sixteen billion, three hundred sixty-two million, three hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 36730543 73461086 110191629 146922172 220383258 293844344 330574887 404035973 440766516 587688688 661149774 808071946 881533032 1175377376 1212107919 1322299548 1616143892 1763066064 2424215838 2644599096 3232287784 3526132128 3636323757 4848431676 5289198192 6464575568 7272647514 9696863352 10578396384 12929151136 14545295028 19393726704 29090590056 38787453408 58181180112 116362360224