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18969604224 = 273175695107
BaseRepresentation
bin10001101010101011…
…010011000010000000
31210222000122201222020
4101222223103002000
5302322204313344
612414200241440
71241040655404
oct215253230200
953860581866
1018969604224
11805493546a
123814a70280
131a340875ac
14cbd505104
15760583719
hex46aad3080

18969604224 has 128 divisors (see below), whose sum is σ = 53456241600. Its totient is φ = 5939625984.

The previous prime is 18969604219. The next prime is 18969604229. The reversal of 18969604224 is 42240696981.

It is an interprime number because it is at equal distance from previous prime (18969604219) and next prime (18969604229).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (18969604229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3711879 + ... + 3716985.

Almost surely, 218969604224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18969604224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26728120800).

18969604224 is an abundant number, since it is smaller than the sum of its proper divisors (34486637376).

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

18969604224 is a wasteful number, since it uses less digits than its factorization.

18969604224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 18969604224 in words is "eighteen billion, nine hundred sixty-nine million, six hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 569 816 1088 1138 1632 1707 2176 2276 3264 3414 4552 5107 6528 6828 9104 9673 10214 13656 15321 18208 19346 20428 27312 29019 30642 36416 38692 40856 54624 58038 61284 72832 77384 81712 86819 109248 116076 122568 154768 163424 173638 218496 232152 245136 260457 309536 326848 347276 464304 490272 520914 619072 653696 694552 928608 980544 1041828 1238144 1389104 1857216 1961088 2083656 2778208 2905883 3714432 4167312 5556416 5811766 8334624 8717649 11112832 11623532 16669248 17435298 23247064 33338496 34870596 46494128 49400011 69741192 92988256 98800022 139482384 148200033 185976512 197600044 278964768 296400066 371953024 395200088 557929536 592800132 790400176 1115859072 1185600264 1580800352 2371200528 3161600704 4742401056 6323201408 9484802112 18969604224