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11948238864 = 243291092
BaseRepresentation
bin10110010000010101…
…11010100000010000
31010211200201102102100
423020022322200100
5143432222120424
65253340120400
7602042232432
oct131012724020
933750642370
1011948238864
115081518781
122395536100
131185510933
14814bc6652
1549de48dc9
hex2c82ba810

11948238864 has 45 divisors (see below), whose sum is σ = 33442145373. Its totient is φ = 3982309056.

The previous prime is 11948238859. The next prime is 11948238917. The reversal of 11948238864 is 46883284911.

It is a happy number.

The square root of 11948238864 is 109308.

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

It can be written as a sum of positive squares in only one way, i.e., 1347477264 + 10600761600 = 36708^2 + 102960^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11948238864.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1307142 + ... + 1316250.

Almost surely, 211948238864 is an apocalyptic number.

11948238864 is the 109308-th square number.

It is an amenable number.

11948238864 is an abundant number, since it is smaller than the sum of its proper divisors (21493906509).

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

11948238864 is an frugal number, since it uses more digits than its factorization.

11948238864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18232 (or 9114 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 11948238864 in words is "eleven billion, nine hundred forty-eight million, two hundred thirty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9109 18218 27327 36436 54654 72872 81981 109308 145744 163962 218616 327924 437232 655848 1311696 82973881 165947762 248921643 331895524 497843286 663791048 746764929 995686572 1327582096 1493529858 1991373144 2987059716 3982746288 5974119432 11948238864