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20979553819014 = 232719131443151007
BaseRepresentation
bin1001100010100101011101…
…10110100101100110000110
32202021121220011210022122100
410301102232312211212012
510222212111234202024
6112341512440012530
74263502621061550
oct461225666454606
982247804708570
1020979553819014
11675941921659a
122429b8a161146
13b9249561431b
145275b70364d0
15265ad65e97c9
hex1314aeda5986

20979553819014 has 192 divisors, whose sum is σ = 55225727631360. Its totient is φ = 5622569484480.

The previous prime is 20979553818931. The next prime is 20979553819067. The reversal of 20979553819014 is 41091835597902.

20979553819014 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 9 + 5 + 538 + 1 + 90 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138855499 + ... + 139006505.

It is an arithmetic number, because the mean of its divisors is an integer number (287633998080).

Almost surely, 220979553819014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20979553819014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27612863815680).

20979553819014 is an abundant number, since it is smaller than the sum of its proper divisors (34246173812346).

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

20979553819014 is a wasteful number, since it uses less digits than its factorization.

20979553819014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151615 (or 151612 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 20979553819014 in words is "twenty trillion, nine hundred seventy-nine billion, five hundred fifty-three million, eight hundred nineteen thousand, fourteen".