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1830855233268 = 22352577329167
BaseRepresentation
bin11010101001000111011…
…110011100111011110100
320111000202110010102100000
4122221013132130323310
5214444042414431033
63521025553351300
7246163204465245
oct32510736347364
96430673112300
101830855233268
1164650905a076
122569b9868530
1310385885b599
146488463cccc
15329587b9a13
hex1aa4779cef4

1830855233268 has 72 divisors (see below), whose sum is σ = 4818077776512. Its totient is φ = 607910344704.

The previous prime is 1830855233177. The next prime is 1830855233279. The reversal of 1830855233268 is 8623325580381.

1830855233268 is a `hidden beast` number, since 1 + 8 + 3 + 0 + 85 + 523 + 32 + 6 + 8 = 666.

It is a super-4 number, since 4×18308552332684 (a number of 50 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3414780 + ... + 3914387.

It is an arithmetic number, because the mean of its divisors is an integer number (66917746896).

Almost surely, 21830855233268 is an apocalyptic number.

1830855233268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1830855233268 is an abundant number, since it is smaller than the sum of its proper divisors (2987222543244).

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

1830855233268 is a wasteful number, since it uses less digits than its factorization.

1830855233268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7329443 (or 7329429 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 1830855233268 in words is "one trillion, eight hundred thirty billion, eight hundred fifty-five million, two hundred thirty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 257 324 486 514 771 972 1028 1542 2313 3084 4626 6939 9252 13878 20817 27756 41634 62451 83268 124902 249804 7329167 14658334 21987501 29316668 43975002 65962503 87950004 131925006 197887509 263850012 395775018 593662527 791550036 1187325054 1780987581 1883595919 2374650108 3561975162 3767191838 5650787757 7123950324 7534383676 11301575514 16952363271 22603151028 33904726542 50857089813 67809453084 101714179626 152571269439 203428359252 305142538878 457713808317 610285077756 915427616634 1830855233268