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20937299280 = 243517192311743
BaseRepresentation
bin10011011111111101…
…011101010101010000
32000001011020000010220
4103133331131111100
5320334422034110
613341330553040
71340563051602
oct233775352520
960034200126
1020937299280
118974617927
124083a38780
131c889307b1
141028991172
158281b4370
hex4dff5d550

20937299280 has 320 divisors, whose sum is σ = 75492311040. Its totient is φ = 4761427968.

The previous prime is 20937299249. The next prime is 20937299311. The reversal of 20937299280 is 8299273902.

It is an interprime number because it is at equal distance from previous prime (20937299249) and next prime (20937299311).

It is a super-2 number, since 2×209372992802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1777089 + ... + 1788831.

It is an arithmetic number, because the mean of its divisors is an integer number (235913472).

Almost surely, 220937299280 is an apocalyptic number.

20937299280 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 20937299280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37746155520).

20937299280 is an abundant number, since it is smaller than the sum of its proper divisors (54555011760).

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

20937299280 is a wasteful number, since it uses less digits than its factorization.

20937299280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11818 (or 11812 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 20937299280 in words is "twenty billion, nine hundred thirty-seven million, two hundred ninety-nine thousand, two hundred eighty".