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122984004672 = 2633174186547
BaseRepresentation
bin111001010001001101…
…0101111110001000000
3102202102222002202101000
41302202122233301000
54003332401122142
6132255330012000
711612441535324
oct1624232576100
9382388082330
10122984004672
114818029aa91
121ba03117000
13b79c48b1c9
145d49787984
1532ebe3a14c
hex1ca26afc40

122984004672 has 112 divisors (see below), whose sum is σ = 382817949120. Its totient is φ = 38583207936.

The previous prime is 122984004643. The next prime is 122984004677. The reversal of 122984004672 is 276400489221.

It is not an unprimeable number, because it can be changed into a prime (122984004677) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2063898 + ... + 2122649.

Almost surely, 2122984004672 is an apocalyptic number.

122984004672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122984004672 is an abundant number, since it is smaller than the sum of its proper divisors (259833944448).

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

122984004672 is a wasteful number, since it uses less digits than its factorization.

122984004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186585 (or 4186569 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 122984004672 in words is "one hundred twenty-two billion, nine hundred eighty-four million, four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 7344 9792 14688 29376 4186547 8373094 12559641 16746188 25119282 33492376 37678923 50238564 66984752 71171299 75357846 100477128 113036769 133969504 142342598 150715692 200954256 213513897 226073538 267939008 284685196 301431384 401908512 427027794 452147076 569370392 602862768 640541691 803817024 854055588 904294152 1138740784 1205725536 1281083382 1708111176 1808588304 1921625073 2277481568 2411451072 2562166764 3416222352 3617176608 3843250146 4554963136 5124333528 6832444704 7234353216 7686500292 10248667056 13664889408 15373000584 20497334112 30746001168 40994668224 61492002336 122984004672