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20601953663760 = 243657173780231
BaseRepresentation
bin1001010111100110001000…
…01000010011101100010000
32200221112020120110222000000
410223303010020103230100
510200020300114220020
6111452223514130000
74224304421523420
oct453630410235420
980845216428000
1020601953663760
11662326a82a087
122388968720900
13b659a99139b1
145131d5b78480
1525ad864b2090
hex12bcc4213b10

20601953663760 has 1120 divisors, whose sum is σ = 89253820104192. Its totient is φ = 4312178933760.

The previous prime is 20601953663659. The next prime is 20601953663779. The reversal of 20601953663760 is 6736635910602.

20601953663760 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 19 + 536 + 6 + 37 + 60 = 666.

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 = 20601953663697 and 20601953663706.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 256742845 + ... + 256823075.

Almost surely, 220601953663760 is an apocalyptic number.

20601953663760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20601953663760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44626910052096).

20601953663760 is an abundant number, since it is smaller than the sum of its proper divisors (68651866440432).

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

20601953663760 is a wasteful number, since it uses less digits than its factorization.

20601953663760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80323 (or 80302 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 20601953663760 in words is "twenty trillion, six hundred one billion, nine hundred fifty-three million, six hundred sixty-three thousand, seven hundred sixty".