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2830372687872 = 212324113713669
BaseRepresentation
bin101001001011111111010…
…110111101000000000000
3101000120200112112222222100
4221023333112331000000
5332333100402002442
610004131045310400
7411326162615352
oct51137726750000
911016615488870
102830372687872
119a139965a514
12398666105400
13176b97b739b2
149adc29550d2
154d9579b484c
hex292ff5bd000

2830372687872 has 312 divisors, whose sum is σ = 8436788647560. Its totient is φ = 913660968960.

The previous prime is 2830372687841. The next prime is 2830372687937. The reversal of 2830372687872 is 2787862730382.

It can be written as a sum of positive squares in 4 ways, for example, as 228010070016 + 2602362617856 = 477504^2 + 1613184^2 .

It is a super-2 number, since 2×28303726878722 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207058254 + ... + 207071922.

It is an arithmetic number, because the mean of its divisors is an integer number (27040989255).

Almost surely, 22830372687872 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 2830372687872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218394323780).

2830372687872 is an abundant number, since it is smaller than the sum of its proper divisors (5606415959688).

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

2830372687872 is a wasteful number, since it uses less digits than its factorization.

2830372687872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13877 (or 13852 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 2830372687872 in words is "two trillion, eight hundred thirty billion, three hundred seventy-two million, six hundred eighty-seven thousand, eight hundred seventy-two".