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28981546650 = 23252719746703
BaseRepresentation
bin11010111111011011…
…110100111010011010
32202210202220010000200
4122333123310322122
5433323233443100
621151451043030
72044122040050
oct327733647232
982722803020
1028981546650
1111322366a51
125749a40476
13296b396794
14158d0961d0
15b494eee00
hex6bf6f4e9a

28981546650 has 144 divisors (see below), whose sum is σ = 89440775424. Its totient is φ = 6590586240.

The previous prime is 28981546609. The next prime is 28981546661. The reversal of 28981546650 is 5664518982.

28981546650 is a `hidden beast` number, since 2 + 8 + 98 + 1 + 546 + 6 + 5 + 0 = 666.

It is a super-2 number, since 2×289815466502 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 597199 + ... + 643901.

It is an arithmetic number, because the mean of its divisors is an integer number (621116496).

Almost surely, 228981546650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28981546650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44720387712).

28981546650 is an abundant number, since it is smaller than the sum of its proper divisors (60459228774).

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

28981546650 is a wasteful number, since it uses less digits than its factorization.

28981546650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46925 (or 46917 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 28981546650 in words is "twenty-eight billion, nine hundred eighty-one million, five hundred forty-six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 197 210 225 315 350 394 450 525 591 630 985 1050 1182 1379 1575 1773 1970 2758 2955 3150 3546 4137 4925 5910 6895 8274 8865 9850 12411 13790 14775 17730 20685 24822 29550 34475 41370 44325 46703 62055 68950 88650 93406 103425 124110 140109 206850 233515 280218 310275 326921 420327 467030 620550 653842 700545 840654 980763 1167575 1401090 1634605 1961526 2101635 2335150 2942289 3269210 3502725 4203270 4903815 5884578 7005450 8173025 9200491 9807630 10508175 14711445 16346050 18400982 21016350 24519075 27601473 29422890 46002455 49038150 55202946 64403437 73557225 82804419 92004910 128806874 138007365 147114450 165608838 193210311 230012275 276014730 322017185 386420622 414022095 460024550 579630933 644034370 690036825 828044190 966051555 1159261866 1380073650 1610085925 1932103110 2070110475 2898154665 3220171850 4140220950 4830257775 5796309330 9660515550 14490773325 28981546650