Search a number
-
+
1155746323968 = 293752439013
BaseRepresentation
bin10000110100010111110…
…110010101111000000000
311002111011221121102221020
4100310113312111320000
5122413432024331333
62242535330425440
7146333320443255
oct20642766257000
94074157542836
101155746323968
11406170740315
12167ba9132280
1384ca91b50a2
143dd1d05142c
15200e4a703b3
hex10d17d95e00

1155746323968 has 40 divisors (see below), whose sum is σ = 3078980445288. Its totient is φ = 385248774144.

The previous prime is 1155746323961. The next prime is 1155746323999. The reversal of 1155746323968 is 8693236475511.

It is a happy number.

It is a super-2 number, since 2×11557463239682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155746323961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 376217971 + ... + 376221042.

Almost surely, 21155746323968 is an apocalyptic number.

It is an amenable number.

1155746323968 is an abundant number, since it is smaller than the sum of its proper divisors (1923234121320).

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

1155746323968 is an frugal number, since it uses more digits than its factorization.

1155746323968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752439034 (or 752439018 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 60.

The spelling of 1155746323968 in words is "one trillion, one hundred fifty-five billion, seven hundred forty-six million, three hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 752439013 1504878026 2257317039 3009756052 4514634078 6019512104 9029268156 12039024208 18058536312 24078048416 36117072624 48156096832 72234145248 96312193664 144468290496 192624387328 288936580992 385248774656 577873161984 1155746323968