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20928068750016 = 2635172931191461
BaseRepresentation
bin1001100001000101100100…
…00110101000101011000000
32202002201000002112211100000
410300202302012220223000
510220341141100000031
6112302115544200000
74260001024155561
oct460426206505300
982081002484300
1020928068750016
1167395a924119a
12241bbbba69000
13b8a67bcac45c
14524cd13ac168
152645c16a93e6
hex1308b21a8ac0

20928068750016 has 1344 divisors, whose sum is σ = 70858515087360. Its totient is φ = 6089416704000.

The previous prime is 20928068750003. The next prime is 20928068750059. The reversal of 20928068750016 is 61005786082902.

20928068750016 is a `hidden beast` number, since 20 + 9 + 28 + 0 + 6 + 87 + 500 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45397112026 + ... + 45397112486.

It is an arithmetic number, because the mean of its divisors is an integer number (52722109440).

Almost surely, 220928068750016 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 20928068750016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35429257543680).

20928068750016 is an abundant number, since it is smaller than the sum of its proper divisors (49930446337344).

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

20928068750016 is a wasteful number, since it uses less digits than its factorization.

20928068750016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 20928068750016 in words is "twenty trillion, nine hundred twenty-eight billion, sixty-eight million, seven hundred fifty thousand, sixteen".