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82420948230 = 23541896531153
BaseRepresentation
bin100110011000010101…
…0111101110100000110
321212202001112222122020
41030300222331310012
52322244230320410
6101510314544010
75645316333465
oct1146052756406
9255661488566
1082420948230
1131a55527345
1213b82738006
137a0687666a
143dbc4cc9dc
152225cd1a70
hex1330abdd06

82420948230 has 128 divisors (see below), whose sum is σ = 205403506560. Its totient is φ = 21151088640.

The previous prime is 82420948229. The next prime is 82420948249. The reversal of 82420948230 is 3284902428.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71483334 + ... + 71484486.

It is an arithmetic number, because the mean of its divisors is an integer number (1604714895).

Almost surely, 282420948230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82420948230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102701753280).

82420948230 is an abundant number, since it is smaller than the sum of its proper divisors (122982558330).

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

82420948230 is a wasteful number, since it uses less digits than its factorization.

82420948230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946.

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 82420948230 in words is "eighty-two billion, four hundred twenty million, nine hundred forty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 89 123 178 205 246 267 410 445 534 615 653 890 1153 1230 1306 1335 1959 2306 2670 3265 3459 3649 3918 5765 6530 6918 7298 9795 10947 11530 17295 18245 19590 21894 26773 34590 36490 47273 53546 54735 58117 80319 94546 102617 109470 116234 133865 141819 160638 174351 205234 236365 267730 283638 290585 307851 348702 401595 472730 513085 581170 615702 709095 752909 803190 871755 1026170 1418190 1505818 1539255 1743510 2258727 2382797 3078510 3764545 4207297 4517454 4765594 7148391 7529090 8414594 11293635 11913985 12621891 14296782 21036485 22587270 23827970 25243782 30869269 35741955 42072970 61738538 63109455 67008901 71483910 92607807 126218910 134017802 154346345 185215614 201026703 308692690 335044505 402053406 463039035 670089010 926078070 1005133515 2010267030 2747364941 5494729882 8242094823 13736824705 16484189646 27473649410 41210474115 82420948230