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20900922509808 = 24341123312113587
BaseRepresentation
bin1001100000010011000000…
…00011111100100111110000
32202000002221020002221110000
410300021200003330213300
510214420042130303213
6112241430134110000
74255020226012245
oct460114003744760
982002836087400
1020900922509808
116729038964130
1224168a47ab300
13b87c43c18123
14523877d7d5cc
15263a33388c73
hex1302600fc9f0

20900922509808 has 1200 divisors, whose sum is σ = 71906968159488. Its totient is φ = 5801028710400.

The previous prime is 20900922509743. The next prime is 20900922509893. The reversal of 20900922509808 is 80890522900902.

20900922509808 is a `hidden beast` number, since 20 + 90 + 0 + 9 + 22 + 509 + 8 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35606341291 + ... + 35606341877.

Almost surely, 220900922509808 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 20900922509808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35953484079744).

20900922509808 is an abundant number, since it is smaller than the sum of its proper divisors (51006045649680).

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

20900922509808 is a wasteful number, since it uses less digits than its factorization.

20900922509808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 20900922509808 in words is "twenty trillion, nine hundred billion, nine hundred twenty-two million, five hundred nine thousand, eight hundred eight".