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83981000350 = 25213192463773
BaseRepresentation
bin100111000110110101…
…0000101111010011110
322000202210001211211101
41032031222011322132
52333443114002400
6102325204143314
76032061503422
oct1161552057236
9260683054741
1083981000350
11326860a3615
1214339097b3a
137bc4b33520
1440c9784b82
1522b7c3e56a
hex138da85e9e

83981000350 has 144 divisors (see below), whose sum is σ = 178153722432. Its totient is φ = 29274981120.

The previous prime is 83981000339. The next prime is 83981000351. The reversal of 83981000350 is 5300018938.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83981000351) 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, 108642564 + ... + 108643336.

It is an arithmetic number, because the mean of its divisors is an integer number (1237178628).

Almost surely, 283981000350 is an apocalyptic number.

83981000350 is an abundant number, since it is smaller than the sum of its proper divisors (94172722082).

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

83981000350 is a wasteful number, since it uses less digits than its factorization.

83981000350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 83981000350 in words is "eighty-three billion, nine hundred eighty-one million, three hundred fifty", and thus it is an aban number.

Divisors: 1 2 5 10 13 19 25 26 38 50 65 95 130 190 247 325 361 463 475 494 650 722 773 926 950 1235 1546 1805 2315 2470 3610 3865 4630 4693 6019 6175 7730 8797 9025 9386 10049 11575 12038 12350 14687 17594 18050 19325 20098 23150 23465 29374 30095 38650 43985 46930 50245 60190 73435 87970 100490 114361 117325 146870 150475 167143 190931 219925 228722 234650 251225 279053 300950 334286 357899 367175 381862 439850 502450 558106 571805 715798 734350 835715 954655 1143610 1395265 1671430 1789495 1909310 2172859 2790530 2859025 3578990 3627689 4178575 4345718 4652687 4773275 5718050 6800081 6976325 7255378 8357150 8947475 9305374 9546550 10864295 13600162 13952650 17894950 18138445 21728590 23263435 34000405 36276890 46526870 54321475 68000810 88401053 90692225 108642950 116317175 129201539 170002025 176802106 181384450 232634350 258403078 340004050 442005265 646007695 884010530 1292015390 1679620007 2210026325 3230038475 3359240014 4420052650 6460076950 8398100035 16796200070 41990500175 83981000350