Search a number
-
+
82041656480 = 2557219550763
BaseRepresentation
bin100110001101000010…
…0000101010010100000
321211202121211222011122
41030122010011102200
52321010131001410
6101404525231412
75633032400600
oct1143204052240
9254677758148
1082041656480
1131880415893
1213a97702568
137976105984
143d83d98c00
15220285de55
hex131a1054a0

82041656480 has 144 divisors (see below), whose sum is σ = 237335222880. Its totient is φ = 26648068608.

The previous prime is 82041656467. The next prime is 82041656507. The reversal of 82041656480 is 8465614028.

It is a happy number.

It is a super-3 number, since 3×820416564803 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126422 + ... + 424341.

It is an arithmetic number, because the mean of its divisors is an integer number (1648161270).

Almost surely, 282041656480 is an apocalyptic number.

82041656480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82041656480 is an abundant number, since it is smaller than the sum of its proper divisors (155293566400).

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

82041656480 is a wasteful number, since it uses less digits than its factorization.

82041656480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550811 (or 550796 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 82041656480 in words is "eighty-two billion, forty-one million, six hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 49 56 70 76 80 95 98 112 133 140 152 160 190 196 224 245 266 280 304 380 392 490 532 560 608 665 760 784 931 980 1064 1120 1330 1520 1568 1862 1960 2128 2660 3040 3724 3920 4256 4655 5320 7448 7840 9310 10640 14896 18620 21280 29792 37240 74480 148960 550763 1101526 2203052 2753815 3855341 4406104 5507630 7710682 8812208 10464497 11015260 15421364 17624416 19276705 20928994 22030520 26987387 30842728 38553410 41857988 44061040 52322485 53974774 61685456 73251479 77106820 83715976 88122080 104644970 107949548 123370912 134936935 146502958 154213640 167431952 209289940 215899096 269873870 293005916 308427280 334863904 366257395 418579880 431798192 512760353 539747740 586011832 616854560 732514790 837159760 863596384 1025520706 1079495480 1172023664 1465029580 1674319520 2051041412 2158990960 2344047328 2563801765 2930059160 4102082824 4317981920 5127603530 5860118320 8204165648 10255207060 11720236640 16408331296 20510414120 41020828240 82041656480