Search a number
-
+
12804651637248 = 293191274915877
BaseRepresentation
bin1011101001010101000010…
…1101100101101000000000
31200100010001012002111111010
42322111100231211220000
53134242411304342443
643122213055120520
72461051130044122
oct272252055455000
950303035074433
1012804651637248
11409747103a4a9
121529763b13140
1371b620295c23
14323a69a43212
151731297a5733
hexba550b65a00

12804651637248 has 160 divisors (see below), whose sum is σ = 34305625728000. Its totient is φ = 4244058685440.

The previous prime is 12804651637237. The next prime is 12804651637307. The reversal of 12804651637248 is 84273615640821.

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, 806482686 + ... + 806498562.

It is an arithmetic number, because the mean of its divisors is an integer number (214410160800).

Almost surely, 212804651637248 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 12804651637248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17152812864000).

12804651637248 is an abundant number, since it is smaller than the sum of its proper divisors (21500974090752).

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

12804651637248 is a wasteful number, since it uses less digits than its factorization.

12804651637248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18838 (or 18822 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 12804651637248 in words is "twelve trillion, eight hundred four billion, six hundred fifty-one million, six hundred thirty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 256 382 384 512 573 764 768 1146 1528 1536 2292 2749 3056 4584 5498 6112 8247 9168 10996 12224 15877 16494 18336 21992 24448 31754 32988 36672 43984 47631 48896 63508 65976 73344 87968 95262 97792 127016 131952 146688 175936 190524 254032 263904 293376 351872 381048 508064 525059 527808 703744 762096 1016128 1050118 1055616 1407488 1524192 1575177 2032256 2100236 2111232 3032507 3048384 3150354 4064512 4200472 4222464 6065014 6096768 6300708 8129024 8400944 9097521 12130028 12193536 12601416 16801888 18195042 24260056 24387072 25202832 33603776 36390084 43645873 48520112 50405664 67207552 72780168 87291746 97040224 100811328 130937619 134415104 145560336 174583492 194080448 201622656 261875238 268830208 291120672 349166984 388160896 403245312 523750476 582241344 698333968 776321792 806490624 1047500952 1164482688 1396667936 1552643584 2095001904 2328965376 2793335872 4190003808 4657930752 5586671744 8336361743 8380007616 11173343488 16672723486 16760015232 22346686976 25009085229 33345446972 33520030464 50018170458 66690893944 67040060928 100036340916 133381787888 200072681832 266763575776 400145363664 533527151552 800290727328 1067054303104 1600581454656 2134108606208 3201162909312 4268217212416 6402325818624 12804651637248