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28474281144 = 23321955737369
BaseRepresentation
bin11010100001001100…
…110000110010111000
32201111102101100120100
4122201030300302320
5431303403444034
621025250355400
72025422252631
oct324114606270
981442340510
1028474281144
1111091a97961
125627b8bb60
1328ba26968a
14154196c888
15b19bee099
hex6a1330cb8

28474281144 has 96 divisors (see below), whose sum is σ = 81324594000. Its totient is φ = 8975494656.

The previous prime is 28474281137. The next prime is 28474281191. The reversal of 28474281144 is 44118247482.

28474281144 is a `hidden beast` number, since 2 + 84 + 7 + 428 + 1 + 144 = 666.

It is a super-3 number, since 3×284742811443 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28474281144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743292 + ... + 780660.

Almost surely, 228474281144 is an apocalyptic number.

28474281144 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 28474281144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40662297000).

28474281144 is an abundant number, since it is smaller than the sum of its proper divisors (52850312856).

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

28474281144 is a wasteful number, since it uses less digits than its factorization.

28474281144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37957 (or 37950 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The spelling of 28474281144 in words is "twenty-eight billion, four hundred seventy-four million, two hundred eighty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 557 684 1114 1368 1671 2228 3342 4456 5013 6684 10026 10583 13368 20052 21166 31749 37369 40104 42332 63498 74738 84664 95247 112107 126996 149476 190494 224214 253992 298952 336321 380988 448428 672642 710011 761976 896856 1345284 1420022 2130033 2690568 2840044 4260066 5680088 6390099 8520132 12780198 17040264 20814533 25560396 41629066 51120792 62443599 83258132 124887198 166516264 187330797 249774396 374661594 395476127 499548792 749323188 790952254 1186428381 1498646376 1581904508 2372856762 3163809016 3559285143 4745713524 7118570286 9491427048 14237140572 28474281144