Search a number
-
+
23117306338116 = 22328013412
BaseRepresentation
bin1010100000110011010101…
…10101010001101101000100
310000211222210211022012011100
411100121222311101231010
511012223220410304431
6121055535515340100
74604112254503524
oct520315265215504
9100758724265140
1023117306338116
117402aa3840891
122714357151630
13cb8c4cc23413
1459cc52837684
152a1502d4d4e6
hex15066ad51b44

23117306338116 has 27 divisors (see below), whose sum is σ = 58435486165693. Its totient is φ = 7705759163280.

The previous prime is 23117306338103. The next prime is 23117306338129. The reversal of 23117306338116 is 61183360371132.

The square root of 23117306338116 is 4808046.

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

23117306338116 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 7 + 3 + 0 + 633 + 8 + 1 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (23117306338103) and next prime (23117306338129).

It can be written as a sum of positive squares in only one way, i.e., 7188586771716 + 15928719566400 = 2681154^2 + 3991080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28447606 + ... + 29248946.

Almost surely, 223117306338116 is an apocalyptic number.

23117306338116 is the 4808046-th square number.

It is an amenable number.

23117306338116 is an abundant number, since it is smaller than the sum of its proper divisors (35318179827577).

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

23117306338116 is an frugal number, since it uses more digits than its factorization.

23117306338116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602692 (or 801346 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 23117306338116 in words is "twenty-three trillion, one hundred seventeen billion, three hundred six million, three hundred thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 801341 1602682 2404023 3205364 4808046 7212069 9616092 14424138 28848276 642147398281 1284294796562 1926442194843 2568589593124 3852884389686 5779326584529 7705768779372 11558653169058 23117306338116