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18988235633664 = 2103411891971187
BaseRepresentation
bin1000101000101000010110…
…00010100011010000000000
32111020020221210022100110000
410110110023002203100000
54442100401310234124
6104215024112240000
73666566115554463
oct424241302432000
974206853270400
1018988235633664
116060957aa1640
122168069840000
13a79776935cab
1449906d6132da
1522ddda8e66c9
hex11450b0a3400

18988235633664 has 880 divisors, whose sum is σ = 62922881039040. Its totient is φ = 5655710269440.

The previous prime is 18988235633639. The next prime is 18988235633671. The reversal of 18988235633664 is 46633653288981.

18988235633664 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 8 + 23 + 563 + 36 + 6 + 4 = 666.

It is a super-2 number, since 2×189882356336642 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18988235633592 and 18988235633601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15996828079 + ... + 15996829265.

It is an arithmetic number, because the mean of its divisors is an integer number (71503273908).

Almost surely, 218988235633664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18988235633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31461440519520).

18988235633664 is an abundant number, since it is smaller than the sum of its proper divisors (43934645405376).

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

18988235633664 is a wasteful number, since it uses less digits than its factorization.

18988235633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1489 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 72.

The spelling of 18988235633664 in words is "eighteen trillion, nine hundred eighty-eight billion, two hundred thirty-five million, six hundred thirty-three thousand, six hundred sixty-four".