Search a number
-
+
20846216670144 = 2632323991967741
BaseRepresentation
bin1001011110101101000110…
…10101101110101111000000
32201210212201200102100101020
410233112203111232233000
510213021022431421034
6112200341510105440
74251042453030315
oct457264325565700
981725650370336
1020846216670144
11670791593a098
12240817794b280
13b82a362515b8
14520d68680d0c
152623d07e6249
hex12f5a356ebc0

20846216670144 has 112 divisors (see below), whose sum is σ = 57577705113600. Its totient is φ = 6643845852160.

The previous prime is 20846216670067. The next prime is 20846216670173. The reversal of 20846216670144 is 44107661264802.

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, 9610114 + ... + 11577854.

It is an arithmetic number, because the mean of its divisors is an integer number (514086652800).

Almost surely, 220846216670144 is an apocalyptic number.

20846216670144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20846216670144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28788852556800).

20846216670144 is an abundant number, since it is smaller than the sum of its proper divisors (36731488443456).

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

20846216670144 is a wasteful number, since it uses less digits than its factorization.

20846216670144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970178 (or 1970168 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 20846216670144 in words is "twenty trillion, eight hundred forty-six billion, two hundred sixteen million, six hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 2399 4416 4798 7197 9596 14394 19192 28788 38384 55177 57576 76768 110354 115152 153536 165531 220708 230304 331062 441416 460608 662124 882832 1324248 1765664 1967741 2648496 3531328 3935482 5296992 5903223 7870964 10593984 11806446 15741928 23612892 31483856 45258043 47225784 62967712 90516086 94451568 125935424 135774129 181032172 188903136 271548258 362064344 377806272 543096516 724128688 1086193032 1448257376 2172386064 2896514752 4344772128 4720610659 8689544256 9441221318 14161831977 18882442636 28323663954 37764885272 56647327908 75529770544 108574045157 113294655816 151059541088 217148090314 226589311632 302119082176 325722135471 434296180628 453178623264 651444270942 868592361256 906357246528 1302888541884 1737184722512 2605777083768 3474369445024 5211554167536 6948738890048 10423108335072 20846216670144