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2820303637938 = 233166731330441
BaseRepresentation
bin101001000010100111001…
…100100100110110110010
3100222121200210212021011000
4221002213030210312302
5332201440212403223
65555343554502430
7410521516244553
oct51024714446662
910877623767130
102820303637938
119980a1973246
12396715b94a16
13175c51a8b297
149a70957a32a
154d568a17543
hex290a7324db2

2820303637938 has 32 divisors (see below), whose sum is σ = 6271101270720. Its totient is φ = 939537234720.

The previous prime is 2820303637913. The next prime is 2820303637961. The reversal of 2820303637938 is 8397363030282.

It is a happy number.

2820303637938 is a `hidden beast` number, since 2 + 8 + 203 + 0 + 36 + 379 + 38 = 666.

It is a super-2 number, since 2×28203036379382 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15575203 + ... + 15755238.

It is an arithmetic number, because the mean of its divisors is an integer number (195971914710).

Almost surely, 22820303637938 is an apocalyptic number.

2820303637938 is an abundant number, since it is smaller than the sum of its proper divisors (3450797632782).

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

2820303637938 is a wasteful number, since it uses less digits than its factorization.

2820303637938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31332119 (or 31332113 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 2820303637938 in words is "two trillion, eight hundred twenty billion, three hundred three million, six hundred thirty-seven thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 1667 3334 5001 10002 15003 30006 45009 90018 31330441 62660882 93991323 187982646 281973969 563947938 845921907 1691843814 52227845147 104455690294 156683535441 313367070882 470050606323 940101212646 1410151818969 2820303637938