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20741739576100 = 22524554312
BaseRepresentation
bin1001011011101010100000…
…00001001111101100100100
32201102220001111100001200121
410231311100001033230210
510204313040312413400
6112040342411251324
74240353433262434
oct455652001175444
981386044301617
1020741739576100
116677582288a74
1223aba7a749b44
13b75c260283aa
14519c96b982c4
1525e8184e521a
hex12dd5004fb24

20741739576100 has 27 divisors (see below), whose sum is σ = 45009673708881. Its totient is φ = 8296677613200.

The previous prime is 20741739576059. The next prime is 20741739576109. The reversal of 20741739576100 is 167593714702.

It is a happy number.

The square root of 20741739576100 is 4554310.

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., 7467026247396 + 13274713328704 = 2732586^2 + 3643448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20741739576109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45315385 + ... + 45770815.

Almost surely, 220741739576100 is an apocalyptic number.

20741739576100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20741739576100 is the 4554310-th square number.

It is an amenable number.

20741739576100 is an abundant number, since it is smaller than the sum of its proper divisors (24267934132781).

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

20741739576100 is an frugal number, since it uses more digits than its factorization.

20741739576100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910876 (or 455438 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 52.

The spelling of 20741739576100 in words is "twenty trillion, seven hundred forty-one billion, seven hundred thirty-nine million, five hundred seventy-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 455431 910862 1821724 2277155 4554310 9108620 11385775 22771550 45543100 207417395761 414834791522 829669583044 1037086978805 2074173957610 4148347915220 5185434894025 10370869788050 20741739576100