Search a number
-
+
157326000390 = 232513197579349
BaseRepresentation
bin1001001010000101011…
…1000100000100000110
3120001002022121220010100
42102201113010010012
510034200424003030
6200135150104530
714236453636656
oct2224127040406
9501068556110
10157326000390
11607a3475729
12265a81ab146
1311ab3287830
14788672c366
15415bd41360
hex24a15c4106

157326000390 has 192 divisors, whose sum is σ = 464359896000. Its totient is φ = 36635784192.

The previous prime is 157326000379. The next prime is 157326000407. The reversal of 157326000390 is 93000623751.

157326000390 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 260 + 0 + 0 + 390 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16823436 + ... + 16832784.

It is an arithmetic number, because the mean of its divisors is an integer number (2418541125).

Almost surely, 2157326000390 is an apocalyptic number.

157326000390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157326000390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232179948000).

157326000390 is an abundant number, since it is smaller than the sum of its proper divisors (307033895610).

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

157326000390 is a wasteful number, since it uses less digits than its factorization.

157326000390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10151 (or 10148 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 157326000390 in words is "one hundred fifty-seven billion, three hundred twenty-six million, three hundred ninety", and thus it is an aban number.