Search a number
-
+
612188410222140 = 223583122929399643
BaseRepresentation
bin1000101100110010000011100…
…0101110100001011000111100
32222021120122021220001020122020
42023030200320232201120330
51120220043331004102030
610010003250111320140
7242643103333610643
oct21314407056413074
92867518256036566
10612188410222140
11168075712940334
12587b226bb20050
132037917236414b
14ab261119b635a
154ab965ad24510
hex22cc838ba163c

612188410222140 has 48 divisors (see below), whose sum is σ = 1734779687776128. Its totient is φ = 161283372330304.

The previous prime is 612188410222061. The next prime is 612188410222153. The reversal of 612188410222140 is 41222014881216.

It is a super-2 number, since 2×6121884102221402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 612188410222092 and 612188410222101.

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, 61464694842 + ... + 61464704801.

It is an arithmetic number, because the mean of its divisors is an integer number (36141243495336).

Almost surely, 2612188410222140 is an apocalyptic number.

612188410222140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

612188410222140 is an abundant number, since it is smaller than the sum of its proper divisors (1122591277553988).

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

612188410222140 is a wasteful number, since it uses less digits than its factorization.

612188410222140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122929399738 (or 122929399736 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 612188410222140 in words is "six hundred twelve trillion, one hundred eighty-eight billion, four hundred ten million, two hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 122929399643 245858799286 368788198929 491717598572 614646998215 737576397858 1229293996430 1475152795716 1843940994645 2458587992860 3687881989290 7375763978580 10203140170369 20406280340738 30609420511107 40812560681476 51015700851845 61218841022214 102031401703690 122437682044428 153047102555535 204062803407380 306094205111070 612188410222140