Search a number
-
+
4502310662136 = 23373881962017
BaseRepresentation
bin100000110000100011010…
…1000001010111111111000
3120221102020202211012201210
41001201012220022333320
51042231213012142021
613324155530443120
7643165312122000
oct101410650127770
916842222735653
104502310662136
111486467aa27a1
126086b28934a0
132687488826c1
14117cad3a9000
157c1ae8b8e76
hex41846a0aff8

4502310662136 has 128 divisors (see below), whose sum is σ = 13127970240000. Its totient is φ = 1286207870976.

The previous prime is 4502310662123. The next prime is 4502310662147. The reversal of 4502310662136 is 6312660132054.

It is a junction number, because it is equal to n+sod(n) for n = 4502310662094 and 4502310662103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72567000 + ... + 72629016.

It is an arithmetic number, because the mean of its divisors is an integer number (102562267500).

Almost surely, 24502310662136 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 4502310662136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563985120000).

4502310662136 is an abundant number, since it is smaller than the sum of its proper divisors (8625659577864).

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

4502310662136 is a wasteful number, since it uses less digits than its factorization.

4502310662136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70866 (or 70848 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 4502310662136 in words is "four trillion, five hundred two billion, three hundred ten million, six hundred sixty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232 8819 17638 26457 35276 52914 61733 62017 70552 105828 123466 124034 185199 186051 211656 246932 248068 370398 372102 432131 434119 493864 496136 740796 744204 864262 868238 1296393 1302357 1481592 1488408 1728524 1736476 2592786 2604714 3024917 3038833 3457048 3472952 5185572 5209428 6049834 6077666 9074751 9116499 10371144 10418856 12099668 12155332 18149502 18232998 21271831 24199336 24310664 36299004 36465996 42543662 63815493 72598008 72931992 85087324 127630986 170174648 255261972 510523944 546927923 1093855846 1640783769 2187711692 3281567538 3828495461 4375423384 6563135076 7656990922 11485486383 13126270152 15313981844 22970972766 26799468227 30627963688 45941945532 53598936454 80398404681 91883891064 107197872908 160796809362 187596277589 214395745816 321593618724 375192555178 562788832767 643187237448 750385110356 1125577665534 1500770220712 2251155331068 4502310662136