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9137346948 = 2232253815193
BaseRepresentation
bin10001000001010000…
…01101100110000100
3212120210112022121100
420200220031212010
5122203130100243
64110405020100
7442301111322
oct104050154604
925523468540
109137346948
113969881004
1219300b4630
13b2806bb92
14629768d12
153872ac0d3
hex220a0d984

9137346948 has 18 divisors (see below), whose sum is σ = 23097182654. Its totient is φ = 3045782304.

The previous prime is 9137346923. The next prime is 9137346979. The reversal of 9137346948 is 8496437319.

It is a happy number.

9137346948 is a `hidden beast` number, since 9 + 137 + 3 + 469 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5173637184 + 3963709764 = 71928^2 + 62958^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×91373469482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9137346894 and 9137346903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126907561 + ... + 126907632.

Almost surely, 29137346948 is an apocalyptic number.

It is an amenable number.

9137346948 is an abundant number, since it is smaller than the sum of its proper divisors (13959835706).

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

9137346948 is a wasteful number, since it uses less digits than its factorization.

9137346948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253815203 (or 253815198 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 9137346948 is about 95589.4709055344. The cubic root of 9137346948 is about 2090.6116772248.

It can be divided in two parts, 913 and 7346948, that added together give a triangular number (7347861 = T3833).

The spelling of 9137346948 in words is "nine billion, one hundred thirty-seven million, three hundred forty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 253815193 507630386 761445579 1015260772 1522891158 2284336737 3045782316 4568673474 9137346948