Search a number
-
+
2136617031456 = 253323107518973
BaseRepresentation
bin11111000101111000010…
…011001001011100100000
321120020222111220010022000
4133011320103021130200
5240001242430001311
64313314234044000
7310236235053225
oct37057023113440
97506874803260
102136617031456
11754152681656
122a6110879600
131266362b471b
14755acaa594c
153a8a1c0d056
hex1f1784c9720

2136617031456 has 96 divisors (see below), whose sum is σ = 6502747547520. Its totient is φ = 681240206592.

The previous prime is 2136617031403. The next prime is 2136617031467. The reversal of 2136617031456 is 6541307166312.

2136617031456 is a `hidden beast` number, since 2 + 13 + 6 + 617 + 0 + 3 + 14 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 53739615 + ... + 53779358.

It is an arithmetic number, because the mean of its divisors is an integer number (67736953620).

Almost surely, 22136617031456 is an apocalyptic number.

It is an amenable number.

2136617031456 is an abundant number, since it is smaller than the sum of its proper divisors (4366130516064).

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

2136617031456 is a wasteful number, since it uses less digits than its factorization.

2136617031456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107519015 (or 107519001 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2136617031456 in words is "two trillion, one hundred thirty-six billion, six hundred seventeen million, thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872 107518973 215037946 322556919 430075892 645113838 860151784 967670757 1290227676 1720303568 1935341514 2472936379 2580455352 2903012271 3440607136 3870683028 4945872758 5160910704 5806024542 7418809137 7741366056 9891745516 10321821408 11612049084 14837618274 15482732112 19783491032 22256427411 23224098168 29675236548 30965464224 39566982064 44512854822 46448196336 59350473096 66769282233 79133964128 89025709644 92896392672 118700946192 133538564466 178051419288 237401892384 267077128932 356102838576 534154257864 712205677152 1068308515728 2136617031456