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18724605948 = 2233809214309
BaseRepresentation
bin10001011100000100…
…101100111111111100
31210022221122112112000
4101130010230333330
5301321444342243
612334005142300
71232004344616
oct213404547774
953287575460
1018724605948
117a39608654
1237669ba990
1319c53a66b9
14c98b6bdb6
15748cdb5d3
hex45c12cffc

18724605948 has 48 divisors (see below), whose sum is σ = 48605508000. Its totient is φ = 6233791104.

The previous prime is 18724605931. The next prime is 18724605961. The reversal of 18724605948 is 84950642781.

It is a happy number.

18724605948 is a `hidden beast` number, since 1 + 8 + 7 + 2 + 46 + 0 + 594 + 8 = 666.

It is a super-2 number, since 2×187246059482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18724605894 and 18724605903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19783 + ... + 194526.

It is an arithmetic number, because the mean of its divisors is an integer number (1012614750).

Almost surely, 218724605948 is an apocalyptic number.

18724605948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18724605948 is an abundant number, since it is smaller than the sum of its proper divisors (29880902052).

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

18724605948 is a wasteful number, since it uses less digits than its factorization.

18724605948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215131 (or 215123 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 18724605948 in words is "eighteen billion, seven hundred twenty-four million, six hundred five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 809 1618 2427 3236 4854 7281 9708 14562 21843 29124 43686 87372 214309 428618 642927 857236 1285854 1928781 2571708 3857562 5786343 7715124 11572686 23145372 173375981 346751962 520127943 693503924 1040255886 1560383829 2080511772 3120767658 4681151487 6241535316 9362302974 18724605948