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20865769200 = 24325241373379
BaseRepresentation
bin10011011011101100…
…100101111011110000
31222212011121220022200
4103123230211323300
5320213114103300
613330253503200
71336034053233
oct233354457360
958764556280
1020865769200
118938201261
124063aa1b00
131c76b776c3
14101d29141a
15821c85200
hex4dbb25ef0

20865769200 has 360 divisors, whose sum is σ = 74571216720. Its totient is φ = 5399654400.

The previous prime is 20865769189. The next prime is 20865769217. The reversal of 20865769200 is 296756802.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55054611 + ... + 55054989.

Almost surely, 220865769200 is an apocalyptic number.

20865769200 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 20865769200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37285608360).

20865769200 is an abundant number, since it is smaller than the sum of its proper divisors (53705447520).

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

20865769200 is a wasteful number, since it uses less digits than its factorization.

20865769200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 20865769200 in words is "twenty billion, eight hundred sixty-five million, seven hundred sixty-nine thousand, two hundred".