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99764381025 = 345270192
BaseRepresentation
bin101110011101001101…
…0111010010101100001
3100112111202021122210000
41130322122322111201
53113304140143100
6113455304530213
710131153150501
oct1347232722541
9315452248700
1099764381025
1139345435081
1217402a80969
13953ba63a2a
144b85a49a01
1528dd6e6900
hex173a6ba561

99764381025 has 45 divisors (see below), whose sum is σ = 184824452131. Its totient is φ = 53200089360.

The previous prime is 99764380987. The next prime is 99764381029. The reversal of 99764381025 is 52018346799.

The square root of 99764381025 is 315855.

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., 35915177169 + 63849203856 = 189513^2 + 252684^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 99764381025 - 27 = 99764380897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99764381029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14209966 + ... + 14216984.

It is a 1-persistent number, because it is pandigital, but 2⋅99764381025 = 199528762050 is not.

Almost surely, 299764381025 is an apocalyptic number.

99764381025 is the 315855-th square number.

99764381025 is the 157928-th centered octagonal number.

It is an amenable number.

99764381025 is a deficient number, since it is larger than the sum of its proper divisors (85060071106).

99764381025 is an frugal number, since it uses more digits than its factorization.

99764381025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14060 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 99764381025 in words is "ninety-nine billion, seven hundred sixty-four million, three hundred eighty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 7019 21057 35095 63171 105285 175475 189513 315855 526425 568539 947565 1579275 2842695 4737825 14213475 49266361 147799083 246331805 443397249 738995415 1231659025 1330191747 2216986245 3694977075 3990575241 6650958735 11084931225 19952876205 33254793675 99764381025