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20934378192 = 24372137383113
BaseRepresentation
bin10011011111110010…
…010100001011010000
32000000221201121011110
4103133302110023100
5320333200100232
613341144213320
71340526164400
oct233762241320
960027647143
1020934378192
118972a02202
124082a6a240
131c8814a040
141028430800
15827cd8acc
hex4dfc942d0

20934378192 has 480 divisors, whose sum is σ = 70119762048. Its totient is φ = 5332303872.

The previous prime is 20934378181. The next prime is 20934378209. The reversal of 20934378192 is 29187343902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185259928 + ... + 185260040.

Almost surely, 220934378192 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 20934378192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35059881024).

20934378192 is an abundant number, since it is smaller than the sum of its proper divisors (49185383856).

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

20934378192 is a wasteful number, since it uses less digits than its factorization.

20934378192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 20934378192 in words is "twenty billion, nine hundred thirty-four million, three hundred seventy-eight thousand, one hundred ninety-two".