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28031094144 = 27339783617
BaseRepresentation
bin11010000110110010…
…001000110110000000
32200100112110010022000
4122012302020312000
5424401430003034
620513255344000
72011431240354
oct320662106600
980315403260
1028031094144
1110984904a09
125523682000
1328494b6a51
1414dcb65464
15ae0d59599
hex686c88d80

28031094144 has 128 divisors (see below), whose sum is σ = 83584552800. Its totient is φ = 9247260672.

The previous prime is 28031094139. The next prime is 28031094149. The reversal of 28031094144 is 44149013082.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28031094139) and next prime (28031094149).

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 28031094099 and 28031094108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28031094149) 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, 293424 + ... + 377040.

Almost surely, 228031094144 is an apocalyptic number.

28031094144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28031094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41792276400).

28031094144 is an abundant number, since it is smaller than the sum of its proper divisors (55553458656).

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

28031094144 is an equidigital number, since it uses as much as digits as its factorization.

28031094144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83737 (or 83719 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 28031094144 in words is "twenty-eight billion, thirty-one million, ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 128 144 192 194 216 288 291 384 388 432 576 582 776 864 873 1152 1164 1552 1728 1746 2328 2619 3104 3456 3492 4656 5238 6208 6984 9312 10476 12416 13968 18624 20952 27936 37248 41904 55872 83617 83808 111744 167234 167616 250851 334468 335232 501702 668936 752553 1003404 1337872 1505106 2006808 2257659 2675744 3010212 4013616 4515318 5351488 6020424 8027232 8110849 9030636 10702976 12040848 16054464 16221698 18061272 24081696 24332547 32108928 32443396 36122544 48163392 48665094 64886792 72245088 72997641 96326784 97330188 129773584 144490176 145995282 194660376 218992923 259547168 288980352 291990564 389320752 437985846 519094336 583981128 778641504 875971692 1038188672 1167962256 1557283008 1751943384 2335924512 3114566016 3503886768 4671849024 7007773536 9343698048 14015547072 28031094144