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20082892431996 = 223289137269283601
BaseRepresentation
bin1001001000011111010011…
…01010110110001001111100
32122002220110022012100102200
410210033221222312021330
510113014230430310441
6110413541534351500
74141640540043552
oct444175152661174
978086408170380
1020082892431996
11644311a244089
12230424805b590
13b28a68739974
144d60351dbbd2
1524c60724b7b6
hex1243e9ab627c

20082892431996 has 288 divisors, whose sum is σ = 52172492299200. Its totient is φ = 6512353689600.

The previous prime is 20082892431989. The next prime is 20082892432049. The reversal of 20082892431996 is 69913429828002.

20082892431996 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 28 + 92 + 431 + 9 + 96 = 666.

It is a super-2 number, since 2×200828924319962 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33415794096 + ... + 33415794696.

It is an arithmetic number, because the mean of its divisors is an integer number (181154487150).

Almost surely, 220082892431996 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 20082892431996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26086246149600).

20082892431996 is an abundant number, since it is smaller than the sum of its proper divisors (32089599867204).

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

20082892431996 is a wasteful number, since it uses less digits than its factorization.

20082892431996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 20082892431996 in words is "twenty trillion, eighty-two billion, eight hundred ninety-two million, four hundred thirty-one thousand, nine hundred ninety-six".