Search a number
-
+
86244862040 = 23529162745697
BaseRepresentation
bin101000001010010011…
…0000010100001011000
322020121112220221020122
41100110212002201120
52403112141041130
6103341554412412
76142141142321
oct1202446024130
9266545827218
1086244862040
1133637a81397
121486b291108
138195b6475c
1442622c7448
15239b8732e5
hex1414982858

86244862040 has 64 divisors (see below), whose sum is σ = 200870128800. Its totient is φ = 33287159808.

The previous prime is 86244862027. The next prime is 86244862141. The reversal of 86244862040 is 4026844268.

It is a super-5 number, since 5×862448620405 (a number of 56 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86244861982 and 86244862000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1864472 + ... + 1910168.

Almost surely, 286244862040 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 86244862040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100435064400).

86244862040 is an abundant number, since it is smaller than the sum of its proper divisors (114625266760).

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

86244862040 is a wasteful number, since it uses less digits than its factorization.

86244862040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47364 (or 47360 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

The spelling of 86244862040 in words is "eighty-six billion, two hundred forty-four million, eight hundred sixty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1627 3254 6508 8135 13016 16270 32540 45697 47183 65080 91394 94366 182788 188732 228485 235915 365576 377464 456970 471830 913940 943660 1325213 1827880 1887320 2650426 5300852 6626065 10601704 13252130 26504260 53008520 74349019 148698038 297396076 371745095 594792152 743490190 1486980380 2156121551 2973960760 4312243102 8624486204 10780607755 17248972408 21561215510 43122431020 86244862040