Search a number
-
+
125602132992 = 2103723253951
BaseRepresentation
bin111010011111001111…
…0000111010000000000
3110000012102120110020120
41310332132013100000
54024213121223432
6133411213340240
712034352341440
oct1647636072000
9400172513216
10125602132992
11492a41475a6
1220413a97680
13bac8a0a66b
146117388120
153401bebc2c
hex1d3e787400

125602132992 has 176 divisors, whose sum is σ = 399236923392. Its totient is φ = 34325913600.

The previous prime is 125602132973. The next prime is 125602133011. The reversal of 125602132992 is 299231206521.

It is an interprime number because it is at equal distance from previous prime (125602132973) and next prime (125602133011).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367617 + ... + 621567.

Almost surely, 2125602132992 is an apocalyptic number.

125602132992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125602132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199618461696).

125602132992 is an abundant number, since it is smaller than the sum of its proper divisors (273634790400).

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

125602132992 is a wasteful number, since it uses less digits than its factorization.

125602132992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254004 (or 253986 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 125602132992 in words is "one hundred twenty-five billion, six hundred two million, one hundred thirty-two thousand, nine hundred ninety-two".