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10028156985 = 32572113113337
BaseRepresentation
bin10010101011011100…
…11000100000111001
3221212212202011020200
421111232120200321
5131014202010420
64335030112413
7503335633200
oct112556304071
927785664220
1010028156985
1142866a6850
121b3a4ab709
13c3a798602
146b1bb2237
153da5c0b90
hex255b98839

10028156985 has 144 divisors (see below), whose sum is σ = 22771487232. Its totient is φ = 4032806400.

The previous prime is 10028156959. The next prime is 10028156987. The reversal of 10028156985 is 58965182001.

It is a happy number.

10028156985 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 8 + 1 + 569 + 85 = 666.

It is not a de Polignac number, because 10028156985 - 26 = 10028156921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10028156985.

It is not an unprimeable number, because it can be changed into a prime (10028156987) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 745237 + ... + 758573.

It is an arithmetic number, because the mean of its divisors is an integer number (158135328).

Almost surely, 210028156985 is an apocalyptic number.

10028156985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10028156985 is an abundant number, since it is smaller than the sum of its proper divisors (12743330247).

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

10028156985 is a wasteful number, since it uses less digits than its factorization.

10028156985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13404 (or 13394 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 10028156985 in words is "ten billion, twenty-eight million, one hundred fifty-six thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 31 33 35 45 49 55 63 77 93 99 105 147 155 165 217 231 245 279 315 341 385 441 465 495 539 651 693 735 1023 1085 1155 1395 1519 1617 1705 1953 2205 2387 2695 3069 3255 3465 4557 4851 5115 7161 7595 8085 9765 11935 13337 13671 15345 16709 21483 22785 24255 35805 40011 50127 66685 68355 83545 93359 107415 120033 146707 150381 200055 250635 280077 413447 440121 466795 600165 653513 733535 751905 840231 1026949 1240341 1320363 1400385 1960539 2067235 2200605 2894129 3080847 3267565 3721023 4201155 4547917 5134745 5881617 6201705 6601815 7188643 8682387 9242541 9802695 13643751 14470645 15404235 18605115 20258903 21565929 22739585 26047161 29408085 31835419 35943215 40931253 43411935 46212705 60776709 64697787 68218755 95506257 101294515 107829645 130235805 159177095 182330127 204656265 222847933 286518771 303883545 323488935 477531285 668543799 911650635 1114239665 1432593855 2005631397 3342718995 10028156985