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122894780472 = 2334469140429
BaseRepresentation
bin111001001110100011…
…0011000100000111000
3102202012202012200210000
41302131012120200320
54003142030433342
6132242421353000
711610306253422
oct1623506304070
9382182180700
10122894780472
1148134999582
121b999268760
13b786b4b419
145d3b99d812
1532e41b344c
hex1c9d198838

122894780472 has 80 divisors (see below), whose sum is σ = 344301071400. Its totient is φ = 40955181120.

The previous prime is 122894780453. The next prime is 122894780497. The reversal of 122894780472 is 274087498221.

122894780472 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 94 + 7 + 80 + 472 = 666.

It is a super-2 number, since 2×1228947804722 (a number of 23 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 3019554 + ... + 3059982.

Almost surely, 2122894780472 is an apocalyptic number.

122894780472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122894780472 is an abundant number, since it is smaller than the sum of its proper divisors (221406290928).

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

122894780472 is a wasteful number, since it uses less digits than its factorization.

122894780472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45138 (or 45125 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 122894780472 in words is "one hundred twenty-two billion, eight hundred ninety-four million, seven hundred eighty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 4691 9382 14073 18764 28146 37528 40429 42219 56292 80858 84438 112584 121287 126657 161716 168876 242574 253314 323432 337752 363861 379971 485148 506628 727722 759942 970296 1013256 1091583 1455444 1519884 2183166 2910888 3039768 3274749 4366332 6549498 8732664 13098996 26197992 189652439 379304878 568957317 758609756 1137914634 1517219512 1706871951 2275829268 3413743902 4551658536 5120615853 6827487804 10241231706 13654975608 15361847559 20482463412 30723695118 40964926824 61447390236 122894780472