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20693253689856 = 29351132931139
BaseRepresentation
bin1001011010010000001100…
…00010010001001000000000
32201021020220102120211200000
410231020012002101020000
510203014240421033411
6112002203254400000
74234016055116466
oct455100602211000
981236812524600
1020693253689856
116658a61266000
1223a25a8960000
13b71499b7ca87
145177b75a2836
1525d42ba36956
hex12d206091200

20693253689856 has 1920 divisors, whose sum is σ = 73268510515200. Its totient is φ = 5816995430400.

The previous prime is 20693253689839. The next prime is 20693253689869. The reversal of 20693253689856 is 65898635239602.

20693253689856 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 3 + 2 + 536 + 8 + 9 + 85 + 6 = 666.

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

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, 148872328635 + ... + 148872328773.

It is an arithmetic number, because the mean of its divisors is an integer number (38160682560).

Almost surely, 220693253689856 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 20693253689856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36634255257600).

20693253689856 is an abundant number, since it is smaller than the sum of its proper divisors (52575256825344).

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

20693253689856 is an equidigital number, since it uses as much as digits as its factorization.

20693253689856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1007769600, while the sum is 72.

The spelling of 20693253689856 in words is "twenty trillion, six hundred ninety-three billion, two hundred fifty-three million, six hundred eighty-nine thousand, eight hundred fifty-six".