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18405022272 = 2637131053401
BaseRepresentation
bin10001001001000001…
…100101101001000000
31202111200022000010120
4101021001211221000
5300143141203042
612242151300240
71221044052030
oct211101455100
952450260116
1018405022272
11789517870a
12369797a680
13197410cb30
14c6853b8c0
1572ac0edec
hex449065a40

18405022272 has 112 divisors (see below), whose sum is σ = 59934360192. Its totient is φ = 4854067200.

The previous prime is 18405022247. The next prime is 18405022301. The reversal of 18405022272 is 27222050481.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509229 + ... + 544172.

It is an arithmetic number, because the mean of its divisors is an integer number (535128216).

Almost surely, 218405022272 is an apocalyptic number.

18405022272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18405022272 is an abundant number, since it is smaller than the sum of its proper divisors (41529337920).

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

18405022272 is a wasteful number, since it uses less digits than its factorization.

18405022272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053436 (or 1053426 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 18405022272 in words is "eighteen billion, four hundred five million, twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 1053401 2106802 3160203 4213604 6320406 7373807 8427208 12640812 13694213 14747614 16854416 22121421 25281624 27388426 29495228 33708832 41082639 44242842 50563248 54776852 58990456 67417664 82165278 88485684 95859491 101126496 109553704 117980912 164330556 176971368 191718982 202252992 219107408 235961824 287578473 328661112 353942736 383437964 438214816 471923648 575156946 657322224 707885472 766875928 876429632 1150313892 1314644448 1415770944 1533751856 2300627784 2629288896 3067503712 4601255568 6135007424 9202511136 18405022272