Search a number
-
+
133904848896 = 2113371322389
BaseRepresentation
bin111110010110101011…
…0011101100000000000
3110210122001121010022000
41330231112131200000
54143214120131041
6141303125344000
712450200302320
oct1745526354000
9423561533260
10133904848896
1151874883985
1221b50568000
13c81cb8c800
1466a3d31280
15373aa90bb6
hex1f2d59d800

133904848896 has 1152 divisors, whose sum is σ = 517974912000. Its totient is φ = 33400553472.

The previous prime is 133904848871. The next prime is 133904848921. The reversal of 133904848896 is 698848409331.

133904848896 is a `hidden beast` number, since 1 + 3 + 390 + 4 + 84 + 88 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (133904848871) and next prime (133904848921).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 1504548820 + ... + 1504548908.

It is an arithmetic number, because the mean of its divisors is an integer number (449631000).

Almost surely, 2133904848896 is an apocalyptic number.

133904848896 is a gapful number since it is divisible by the number (16) 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 133904848896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258987456000).

133904848896 is an abundant number, since it is smaller than the sum of its proper divisors (384070063104).

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

133904848896 is a wasteful number, since it uses less digits than its factorization.

133904848896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 133904848896 in words is "one hundred thirty-three billion, nine hundred four million, eight hundred forty-eight thousand, eight hundred ninety-six".