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20654102298942 = 23273179100966337
BaseRepresentation
bin1001011001000111010000…
…11011100100000100111110
32201010111211220100002222200
410230203220123210010332
510201344100142031232
6111532210312252330
74231131623564610
oct454435033440476
981114756302880
1020654102298942
1166433a0329592
122396aa10a10a6
13b6a89a86c688
145159419b4db0
1525c3d97c977c
hex12c8e86e413e

20654102298942 has 192 divisors, whose sum is σ = 53515342233600. Its totient is φ = 5632849797120.

The previous prime is 20654102298923. The next prime is 20654102298967. The reversal of 20654102298942 is 24989220145602.

20654102298942 is a `hidden beast` number, since 2 + 0 + 6 + 541 + 0 + 2 + 2 + 9 + 8 + 94 + 2 = 666.

It is a super-2 number, since 2×206541022989422 (a number of 27 digits) contains 22 as substring.

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, 311317998 + ... + 311384334.

It is an arithmetic number, because the mean of its divisors is an integer number (278725740800).

Almost surely, 220654102298942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20654102298942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26757671116800).

20654102298942 is an abundant number, since it is smaller than the sum of its proper divisors (32861239934658).

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

20654102298942 is a wasteful number, since it uses less digits than its factorization.

20654102298942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67471 (or 67468 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 20654102298942 in words is "twenty trillion, six hundred fifty-four billion, one hundred two million, two hundred ninety-eight thousand, nine hundred forty-two".