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2830116238600 = 23527171031115337
BaseRepresentation
bin101001001011110000000…
…100101011010100001000
3101000120000200000000201011
4221023300010223110020
5332332034224113400
610004045404533304
7411316630053010
oct51136004532410
911016020000634
102830116238600
119a1277921372
123985b4251234
13176b569b3971
149ad9a87ac40
154d9402098ba
hex292f012b508

2830116238600 has 192 divisors, whose sum is σ = 7970169519360. Its totient is φ = 912353894400.

The previous prime is 2830116238591. The next prime is 2830116238613. The reversal of 2830116238600 is 68326110382.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24480132 + ... + 24595468.

It is an arithmetic number, because the mean of its divisors is an integer number (41511299580).

Almost surely, 22830116238600 is an apocalyptic number.

2830116238600 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 2830116238600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985084759680).

2830116238600 is an abundant number, since it is smaller than the sum of its proper divisors (5140053280760).

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

2830116238600 is a wasteful number, since it uses less digits than its factorization.

2830116238600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116408 (or 116399 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 2830116238600 in words is "two trillion, eight hundred thirty billion, one hundred sixteen million, two hundred thirty-eight thousand, six hundred".