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81937018352 = 2472477131319
BaseRepresentation
bin100110001001111010…
…0111010110111110000
321211111022221210122102
41030103310322313300
52320301334041402
6101350310355532
75630322110300
oct1142364726760
9254438853572
1081937018352
11318273466a2
1213a6865bba8
13795a52a017
143d7411b600
1521e8590102
hex1313d3adf0

81937018352 has 120 divisors (see below), whose sum is σ = 191263472640. Its totient is φ = 33883570560.

The previous prime is 81937018351. The next prime is 81937018367. The reversal of 81937018352 is 25381073918.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a junction number, because it is equal to n+sod(n) for n = 81937018297 and 81937018306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81937018351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2600549 + ... + 2631867.

It is an arithmetic number, because the mean of its divisors is an integer number (1593862272).

Almost surely, 281937018352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81937018352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95631736320).

81937018352 is an abundant number, since it is smaller than the sum of its proper divisors (109326454288).

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

81937018352 is a wasteful number, since it uses less digits than its factorization.

81937018352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31459 (or 31446 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 81937018352 in words is "eighty-one billion, nine hundred thirty-seven million, eighteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 71 94 98 112 142 188 196 284 329 376 392 497 568 658 752 784 994 1136 1316 1988 2303 2632 3337 3479 3976 4606 5264 6674 6958 7952 9212 13348 13916 18424 23359 26696 27832 31319 36848 46718 53392 55664 62638 93436 125276 163513 186872 219233 250552 327026 373744 438466 501104 654052 876932 1308104 1471993 1534631 1753864 2223649 2616208 2943986 3069262 3507728 4447298 5887972 6138524 8894596 10303951 11775944 12277048 15565543 17789192 20607902 23551888 24554096 31131086 35578384 41215804 62262172 72127657 82431608 104511503 108958801 124524344 144255314 164863216 209023006 217917602 249048688 288510628 418046012 435835204 577021256 731580521 836092024 871670408 1154042512 1463161042 1672184048 1743340816 2926322084 5121063647 5852644168 10242127294 11705288336 20484254588 40968509176 81937018352