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1981006023864 = 233731337673171
BaseRepresentation
bin11100110100111101001…
…010010000110010111000
321000101022201022220000110
4130310331022100302320
5224424100020230424
64114021150104320
7263060114241240
oct34647512206270
97011281286013
101981006023864
116a415a28a44a
1227bb22aab0a0
13114a6742573a
146bc4a042b20
15367e5732c29
hex1cd3d290cb8

1981006023864 has 64 divisors (see below), whose sum is σ = 5678100483840. Its totient is φ = 564193393920.

The previous prime is 1981006023851. The next prime is 1981006023869. The reversal of 1981006023864 is 4683206001891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981006023869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18784002 + ... + 18889169.

It is an arithmetic number, because the mean of its divisors is an integer number (88720320060).

Almost surely, 21981006023864 is an apocalyptic number.

1981006023864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1981006023864 is an abundant number, since it is smaller than the sum of its proper divisors (3697094459976).

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

1981006023864 is a wasteful number, since it uses less digits than its factorization.

1981006023864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37673500 (or 37673496 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 1981006023864 in words is "one trillion, nine hundred eighty-one billion, six million, twenty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 313 626 939 1252 1878 2191 2504 3756 4382 6573 7512 8764 13146 17528 26292 52584 37673171 75346342 113019513 150692684 226039026 263712197 301385368 452078052 527424394 791136591 904156104 1054848788 1582273182 2109697576 3164546364 6329092728 11791702523 23583405046 35375107569 47166810092 70750215138 82541917661 94333620184 141500430276 165083835322 247625752983 283000860552 330167670644 495251505966 660335341288 990503011932 1981006023864