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491386980100 = 2252700992
BaseRepresentation
bin1110010011010001111…
…00100100011100000100
31201222100121021222010111
413021220330210130010
531022330031330400
61013423504202404
750334012262222
oct7115074443404
91658317258114
10491386980100
1117a43a15a135
127b298609404
1337450900ab3
1419ad7383b12
15cbae8e73ba
hex7268f24704

491386980100 has 27 divisors (see below), whose sum is σ = 1066324958517. Its totient is φ = 196551988080.

The previous prime is 491386980089. The next prime is 491386980101. The reversal of 491386980100 is 1089683194.

The square root of 491386980100 is 700990.

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

It can be written as a sum of positive squares in only one way, i.e., 176899312836 + 314487667264 = 420594^2 + 560792^2 .

It is a super-2 number, since 2×4913869801002 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (491386980101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6974851 + ... + 7044949.

Almost surely, 2491386980100 is an apocalyptic number.

491386980100 is the 700990-th square number.

It is an amenable number.

491386980100 is an abundant number, since it is smaller than the sum of its proper divisors (574937978417).

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

491386980100 is an frugal number, since it uses more digits than its factorization.

491386980100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140212 (or 70106 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

Multiplying 491386980100 by its sum of digits (49), we get a square (24077962024900 = 49069302).

The spelling of 491386980100 in words is "four hundred ninety-one billion, three hundred eighty-six million, nine hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 70099 140198 280396 350495 700990 1401980 1752475 3504950 7009900 4913869801 9827739602 19655479204 24569349005 49138698010 98277396020 122846745025 245693490050 491386980100