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86483274460 = 2251128110131381
BaseRepresentation
bin101000010001011001…
…1100000101011011100
322021020011112112121021
41100202303200223130
52404104204240320
6103421352413524
76151064463262
oct1204263405334
9267204475537
1086483274460
113374a610150
12149170a72a4
13820337aaab
144285c28432
1523b2768daa
hex1422ce0adc

86483274460 has 96 divisors (see below), whose sum is σ = 199170788544. Its totient is φ = 31282944000.

The previous prime is 86483274403. The next prime is 86483274461. The reversal of 86483274460 is 6447238468.

It is a happy number.

It is a super-2 number, since 2×864832744602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86483274398 and 86483274407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86483274461) 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, 62622970 + ... + 62624350.

It is an arithmetic number, because the mean of its divisors is an integer number (2074695714).

Almost surely, 286483274460 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 86483274460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99585394272).

86483274460 is an abundant number, since it is smaller than the sum of its proper divisors (112687514084).

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

86483274460 is a wasteful number, since it uses less digits than its factorization.

86483274460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 52.

The spelling of 86483274460 in words is "eighty-six billion, four hundred eighty-three million, two hundred seventy-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 281 562 1013 1124 1381 1405 2026 2762 2810 3091 4052 5065 5524 5620 6182 6905 10130 11143 12364 13810 15191 15455 20260 22286 27620 30382 30910 44572 55715 60764 61820 75955 111430 151910 222860 284653 303820 388061 569306 776122 1138612 1398953 1423265 1552244 1940305 2797906 2846530 3131183 3880610 4268671 5595812 5693060 6262366 6994765 7761220 8537342 12524732 13989530 15388483 15655915 17074684 21343355 27979060 30776966 31311830 42686710 61553932 62623660 76942415 85373420 153884830 307769660 393105793 786211586 1572423172 1965528965 3931057930 4324163723 7862115860 8648327446 17296654892 21620818615 43241637230 86483274460