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20838869004800 = 2952711193135897
BaseRepresentation
bin1001011110011111011010…
…11000100111001000000000
32201210011202121111021101202
410233033231120213020000
510212411000431123200
6112153124432120332
74250362412636420
oct457175530471000
981704677437352
1020838869004800
1167047953153a0
1224068670960a8
13b82134bcc022
1452086c8a4480
152621007051d5
hex12f3ed627200

20838869004800 has 960 divisors, whose sum is σ = 69945340354560. Its totient is φ = 5954715648000.

The previous prime is 20838869004749. The next prime is 20838869004803. The reversal of 20838869004800 is 840096883802.

It is a super-2 number, since 2×208388690048002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (20838869004803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 580500452 + ... + 580536348.

It is an arithmetic number, because the mean of its divisors is an integer number (72859729536).

Almost surely, 220838869004800 is an apocalyptic number.

20838869004800 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 20838869004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34972670177280).

20838869004800 is an abundant number, since it is smaller than the sum of its proper divisors (49106471349760).

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

20838869004800 is a wasteful number, since it uses less digits than its factorization.

20838869004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35993 (or 35972 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 56.

The spelling of 20838869004800 in words is "twenty trillion, eight hundred thirty-eight billion, eight hundred sixty-nine million, four thousand, eight hundred".