Search a number
-
+
10993652136 = 23321277119569
BaseRepresentation
bin10100011110100010…
…11101000110101000
31001101011111101121100
422033101131012220
5140003333332021
65014520041400
7536301333645
oct121721350650
931334441540
1010993652136
1147316a2625
122169903260
13106281420c
147640dadcc
15445238626
hex28f45d1a8

10993652136 has 48 divisors (see below), whose sum is σ = 29798039700. Its totient is φ = 3661650432.

The previous prime is 10993652113. The next prime is 10993652167. The reversal of 10993652136 is 63125639901.

10993652136 is a `hidden beast` number, since 1 + 0 + 9 + 93 + 6 + 521 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10099044036 + 894608100 = 100494^2 + 29910^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10993652091 and 10993652100.

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, 32160 + ... + 151728.

Almost surely, 210993652136 is an apocalyptic number.

It is an amenable number.

10993652136 is an abundant number, since it is smaller than the sum of its proper divisors (18804387564).

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

10993652136 is a wasteful number, since it uses less digits than its factorization.

10993652136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120858 (or 120851 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 10993652136 in words is "ten billion, nine hundred ninety-three million, six hundred fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1277 2554 3831 5108 7662 10216 11493 15324 22986 30648 45972 91944 119569 239138 358707 478276 717414 956552 1076121 1434828 2152242 2869656 4304484 8608968 152689613 305379226 458068839 610758452 916137678 1221516904 1374206517 1832275356 2748413034 3664550712 5496826068 10993652136