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20954423196000 = 2533537167269617
BaseRepresentation
bin1001100001110110101001…
…11100110111100101100000
32202012020000210002101202000
410300323110330313211200
510221304124314233000
6112322155031324000
74261623066233220
oct460732474674540
982166023071660
1020954423196000
1167497a2682568
122425135b20600
13b8ccbc0048a8
145262b15aa080
15265115224000
hex130ed4f37960

20954423196000 has 1536 divisors, whose sum is σ = 88161028300800. Its totient is φ = 4735516262400.

The previous prime is 20954423195983. The next prime is 20954423196013. The reversal of 20954423196000 is 69132445902.

20954423196000 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 4 + 4 + 2 + 31 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 33961787692 + ... + 33961788308.

It is an arithmetic number, because the mean of its divisors is an integer number (57396502800).

Almost surely, 220954423196000 is an apocalyptic number.

20954423196000 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 20954423196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44080514150400).

20954423196000 is an abundant number, since it is smaller than the sum of its proper divisors (67206605104800).

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

20954423196000 is a wasteful number, since it uses less digits than its factorization.

20954423196000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 20954423196000 in words is "twenty trillion, nine hundred fifty-four billion, four hundred twenty-three million, one hundred ninety-six thousand".