Search a number
-
+
6340347879796 = 22717371033495161
BaseRepresentation
bin101110001000011101000…
…1011101110000101110100
3211110010112202010020111201
41130100322023232011310
51312340013024123141
621252414323142244
71223034505521250
oct134207213560564
924403482106451
106340347879796
112024a210a3a57
12864975814984
1336cb7a334098
1417cc357b7260
15aedd8949031
hex5c43a2ee174

6340347879796 has 96 divisors (see below), whose sum is σ = 13923383265792. Its totient is φ = 2464171683840.

The previous prime is 6340347879763. The next prime is 6340347879841. The reversal of 6340347879796 is 6979787430436.

It is a super-2 number, since 2×63403478797962 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66456 + ... + 3561616.

It is an arithmetic number, because the mean of its divisors is an integer number (145035242352).

Almost surely, 26340347879796 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 6340347879796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961691632896).

6340347879796 is an abundant number, since it is smaller than the sum of its proper divisors (7583035385996).

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

6340347879796 is a wasteful number, since it uses less digits than its factorization.

6340347879796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495329 (or 3495327 counting only the distinct ones).

The product of its (nonzero) digits is 1152216576, while the sum is 73.

The spelling of 6340347879796 in words is "six trillion, three hundred forty billion, three hundred forty-seven million, eight hundred seventy-nine thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 14 17 28 34 37 68 74 103 119 148 206 238 259 412 476 518 629 721 1036 1258 1442 1751 2516 2884 3502 3811 4403 7004 7622 8806 12257 15244 17612 24514 26677 49028 53354 64787 106708 129574 259148 453509 907018 1814036 3495161 6990322 13980644 24466127 48932254 59417737 97864508 118835474 129320957 237670948 258641914 360001583 415924159 517283828 720003166 831848318 905246699 1440006332 1663696636 1810493398 2198456269 2520011081 3620986796 4396912538 5040022162 6120026911 8793825076 10080044324 12240053822 13320058571 15389193883 24480107644 26640117142 30778387766 42840188377 53280234284 61556775532 85680376754 93240409997 171360753508 186480819994 226440995707 372961639988 452881991414 905763982828 1585086969949 3170173939898 6340347879796