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2798293296100 = 22524094
BaseRepresentation
bin101000101110000111010…
…001110010001111100100
3100220111212212112001100011
4220232013101302033210
5331321401040433400
65541303532500004
7406112213364001
oct50560721621744
910814785461304
102798293296100
11989827683695
123923b291a604
13173b54a57c83
149961c2a68a8
154cbcb5448ba
hex28b874723e4

2798293296100 has 45 divisors (see below), whose sum is σ = 6087179532077. Its totient is φ = 1116580601280.

The previous prime is 2798293296023. The next prime is 2798293296109. The reversal of 2798293296100 is 16923928972.

The square root of 2798293296100 is 1672810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 6426587556 + 2791866708544 = 80166^2 + 1670888^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2798293296109) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6841792696 + ... + 6841793104.

Almost surely, 22798293296100 is an apocalyptic number.

2798293296100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2798293296100 is the 1672810-th square number.

It is an amenable number.

2798293296100 is an abundant number, since it is smaller than the sum of its proper divisors (3288886235977).

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

2798293296100 is an frugal number, since it uses more digits than its factorization.

2798293296100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 58.

The spelling of 2798293296100 in words is "two trillion, seven hundred ninety-eight billion, two hundred ninety-three million, two hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 409 818 1636 2045 4090 8180 10225 20450 40900 167281 334562 669124 836405 1672810 3345620 4182025 8364050 16728100 68417929 136835858 273671716 342089645 684179290 1368358580 1710448225 3420896450 6841792900 27982932961 55965865922 111931731844 139914664805 279829329610 559658659220 699573324025 1399146648050 2798293296100