Search a number
-
+
85210783320 = 23351376171777
BaseRepresentation
bin100111101011011110…
…1010101111001011000
322010221111010021220210
41033112331111321120
52344002430031240
6103051214451120
76104413464465
oct1172675257130
9263844107823
1085210783320
11331572a1783
1214620b03aa0
13805c854c60
1441a4c2866c
15233abae780
hex13d6f55e58

85210783320 has 128 divisors (see below), whose sum is σ = 275661973440. Its totient is φ = 20947107840.

The previous prime is 85210783303. The next prime is 85210783321. The reversal of 85210783320 is 2338701258.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85210783321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1151272 + ... + 1223048.

Almost surely, 285210783320 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 85210783320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137830986720).

85210783320 is an abundant number, since it is smaller than the sum of its proper divisors (190451190120).

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

85210783320 is a wasteful number, since it uses less digits than its factorization.

85210783320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72565 (or 72561 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 85210783320 in words is "eighty-five billion, two hundred ten million, seven hundred eighty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 761 780 1522 1560 2283 3044 3805 4566 6088 7610 9132 9893 11415 15220 18264 19786 22830 29679 30440 39572 45660 49465 59358 71777 79144 91320 98930 118716 143554 148395 197860 215331 237432 287108 296790 358885 395720 430662 574216 593580 717770 861324 933101 1076655 1187160 1435540 1722648 1866202 2153310 2799303 2871080 3732404 4306620 4665505 5598606 7464808 8613240 9331010 11197212 13996515 18662020 22394424 27993030 37324040 54622297 55986060 109244594 111972120 163866891 218489188 273111485 327733782 436978376 546222970 655467564 710089861 819334455 1092445940 1310935128 1420179722 1638668910 2130269583 2184891880 2840359444 3277337820 3550449305 4260539166 5680718888 6554675640 7100898610 8521078332 10651347915 14201797220 17042156664 21302695830 28403594440 42605391660 85210783320