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101472037728889 = 172232257632
BaseRepresentation
bin10111000100100111001100…
…110000110111001001111001
3111022021122001210000010011111
4113010213030300313021321
5101300004213124311024
6555451335520000321
730242053455322432
oct2704471460671171
9438248053003144
10101472037728889
112a37205aa223a3
12b469b641600a1
134480a063c16a9
141b0b3b6910489
15bae7c1da6a94
hex5c49ccc37279

101472037728889 has 27 divisors (see below), whose sum is σ = 112686848043343. Its totient is φ = 91347240070592.

The previous prime is 101472037728883. The next prime is 101472037728911. The reversal of 101472037728889 is 988827730274101.

The square root of 101472037728889 is 10073333.

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., 79000721415225 + 22471316313664 = 8888235^2 + 4740392^2 .

It is not a de Polignac number, because 101472037728889 - 29 = 101472037728377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101472037728883) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3938660322 + ... + 3938686084.

Almost surely, 2101472037728889 is an apocalyptic number.

101472037728889 is the 10073333-rd square number.

101472037728889 is the 5036667-th centered octagonal number.

It is an amenable number.

101472037728889 is a deficient number, since it is larger than the sum of its proper divisors (11214810314454).

101472037728889 is an frugal number, since it uses more digits than its factorization.

101472037728889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51606 (or 25803 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 67.

The spelling of 101472037728889 in words is "one hundred one trillion, four hundred seventy-two billion, thirty-seven million, seven hundred twenty-eight thousand, eight hundred eighty-nine".

Divisors: 1 17 23 289 391 529 6647 8993 25763 152881 437971 592549 7445507 10073333 13628627 171246661 231686659 663732169 3938673203 11283446873 15265839887 191818596841 259519278079 351114317401 4411827727343 5968943395817 101472037728889