Search a number
-
+
612995770640 = 2451115111534001
BaseRepresentation
bin10001110101110010110…
…01010010100100010000
32011121020201200121100202
420322321121102210100
540020403404130030
61145334550434332
762200415036111
oct10727131224420
92147221617322
10612995770640
11216a7414a410
129a9770629a8
1345a611ab116
142195222c208
1510e2ac36745
hex8eb9652910

612995770640 has 160 divisors (see below), whose sum is σ = 1566825645312. Its totient is φ = 221184000000.

The previous prime is 612995770633. The next prime is 612995770649. The reversal of 612995770640 is 46077599216.

It is not an unprimeable number, because it can be changed into a prime (612995770649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153208640 + ... + 153212640.

Almost surely, 2612995770640 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 612995770640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783412822656).

612995770640 is an abundant number, since it is smaller than the sum of its proper divisors (953829874672).

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

612995770640 is a wasteful number, since it uses less digits than its factorization.

612995770640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5329 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 56.

The spelling of 612995770640 in words is "six hundred twelve billion, nine hundred ninety-five million, seven hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 151 176 220 302 440 604 755 880 1153 1208 1510 1661 2306 2416 3020 3322 4001 4612 5765 6040 6644 8002 8305 9224 11530 12080 12683 13288 16004 16610 18448 20005 23060 25366 26576 32008 33220 40010 44011 46120 50732 63415 64016 66440 80020 88022 92240 101464 126830 132880 160040 174103 176044 202928 220055 253660 320080 348206 352088 440110 507320 604151 696412 704176 870515 880220 1014640 1208302 1392824 1741030 1760440 1915133 2416604 2785648 3020755 3482060 3520880 3830266 4613153 4833208 6041510 6645661 6964120 7660532 9226306 9575665 9666416 12083020 13291322 13928240 15321064 18452612 19151330 23065765 24166040 26582644 30642128 33228305 36905224 38302660 46131530 48332080 50744683 53165288 66456610 73810448 76605320 92263060 101489366 106330576 132913220 153210640 184526120 202978732 253723415 265826440 369052240 405957464 507446830 531652880 696586103 811914928 1014893660 1393172206 2029787320 2786344412 3482930515 4059574640 5572688824 6965861030 7662447133 11145377648 13931722060 15324894266 27863444120 30649788532 38312235665 55726888240 61299577064 76624471330 122599154128 153248942660 306497885320 612995770640