Search a number
-
+
1149113157984 = 253311495124421
BaseRepresentation
bin10000101110001100011…
…110110100100101100000
311001212001200010200211000
4100232030132310211200
5122311340432023414
62235521214552000
7146010044453031
oct20561436644540
94055050120730
101149113157984
11403377469560
12166857808600
138448cbaa6bc
143d890104a88
151ed57567b09
hex10b8c7b4960

1149113157984 has 192 divisors, whose sum is σ = 3657157378560. Its totient is φ = 348131520000.

The previous prime is 1149113157979. The next prime is 1149113157991. The reversal of 1149113157984 is 4897513119411.

1149113157984 is a `hidden beast` number, since 1 + 1 + 491 + 1 + 3 + 1 + 5 + 79 + 84 = 666.

It is a super-2 number, since 2×11491131579842 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1149113157984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47042094 + ... + 47066514.

It is an arithmetic number, because the mean of its divisors is an integer number (19047694680).

Almost surely, 21149113157984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1149113157984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828578689280).

1149113157984 is an abundant number, since it is smaller than the sum of its proper divisors (2508044220576).

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

1149113157984 is a wasteful number, since it uses less digits than its factorization.

1149113157984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29402 (or 29388 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 54.

The spelling of 1149113157984 in words is "one trillion, one hundred forty-nine billion, one hundred thirteen million, one hundred fifty-seven thousand, nine hundred eighty-four".