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158252000481 = 34442012
BaseRepresentation
bin1001001101100010001…
…1011110010011100001
3120010110212001120110000
42103120203132103201
510043100003003411
6200411105330213
714301426544461
oct2233043362341
9503425046400
10158252000481
1161129146263
1226806336969
1311c00085693
1479336d5ba1
1541b32a6956
hex24d88de4e1

158252000481 has 15 divisors (see below), whose sum is σ = 236406484963. Its totient is φ = 105498946800.

The previous prime is 158252000447. The next prime is 158252000509. The reversal of 158252000481 is 184000252851.

The square root of 158252000481 is 397809.

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

158252000481 is a `hidden beast` number, since 1 + 58 + 2 + 520 + 0 + 0 + 4 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25522938081 + 132729062400 = 159759^2 + 364320^2 .

It is not a de Polignac number, because 158252000481 - 235 = 123892262113 is a prime.

It is a super-2 number, since 2×1582520004812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (158252000981) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3558181 + ... + 3602381.

Almost surely, 2158252000481 is an apocalyptic number.

158252000481 is the 397809-th square number.

158252000481 is the 198905-th centered octagonal number.

It is an amenable number.

158252000481 is a deficient number, since it is larger than the sum of its proper divisors (78154484482).

158252000481 is an frugal number, since it uses more digits than its factorization.

158252000481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88414 (or 44204 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Multiplying 158252000481 by its sum of digits (36), we get a square (5697072017316 = 23868542).

The spelling of 158252000481 in words is "one hundred fifty-eight billion, two hundred fifty-two million, four hundred eighty-one", and thus it is an aban number.

Divisors: 1 3 9 27 81 44201 132603 397809 1193427 3580281 1953728401 5861185203 17583555609 52750666827 158252000481