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28149171642 = 23217241191691
BaseRepresentation
bin11010001101110100…
…100100010110111010
32200122202122002011200
4122031310210112322
5430122141443032
620533114235030
72014364003544
oct321564442672
980582562150
1028149171642
1110a35523319
125557125a76
132867ab98a7
141510700694
15aeb3d047c
hex68dd245ba

28149171642 has 144 divisors (see below), whose sum is σ = 66812788224. Its totient is φ = 8558208000.

The previous prime is 28149171641. The next prime is 28149171719. The reversal of 28149171642 is 24617194182.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (28149171641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40736517 + ... + 40737207.

It is an arithmetic number, because the mean of its divisors is an integer number (463977696).

Almost surely, 228149171642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28149171642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33406394112).

28149171642 is an abundant number, since it is smaller than the sum of its proper divisors (38663616582).

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

28149171642 is a wasteful number, since it uses less digits than its factorization.

28149171642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 945 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 28149171642 in words is "twenty-eight billion, one hundred forty-nine million, one hundred seventy-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 191 246 289 306 369 382 573 578 691 697 738 867 1146 1382 1394 1719 1734 2073 2091 2601 3247 3438 4146 4182 5202 6219 6273 6494 7831 9741 11747 11849 12438 12546 15662 19482 23493 23494 23698 28331 29223 35241 35547 46986 55199 56662 58446 70479 70482 71094 84993 105723 106641 110398 131981 133127 140958 165597 169986 199699 211446 213282 254979 263962 266254 331194 395943 399381 399398 481627 496791 509958 599097 791886 798762 963254 993582 1187829 1198143 1198194 1444881 1797291 2243677 2263159 2375658 2396286 2889762 3594582 4334643 4487354 4526318 5411221 6731031 6789477 8187659 8669286 10822442 13462062 13578954 16233663 16375318 20193093 20368431 24562977 32467326 38142509 40386186 40736862 48700989 49125954 73688931 76285018 91990757 97401978 114427527 147377862 183981514 228855054 275972271 343282581 551944542 686565162 827916813 1563842869 1655833626 3127685738 4691528607 9383057214 14074585821 28149171642