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2634314298112 = 2872290372341
BaseRepresentation
bin100110010101011001010…
…111100011001100000000
3100022211121220002212020101
4212111121113203030000
5321130033430014422
65334104241452144
7361215523035400
oct46253127431400
910284556085211
102634314298112
1192622a821442
1236666a641054
13161551341193
1491704148800
15487d05cec27
hex265595e3300

2634314298112 has 108 divisors (see below), whose sum is σ = 6119034180336. Its totient is φ = 1128587335680.

The previous prime is 2634314298101. The next prime is 2634314298113. The reversal of 2634314298112 is 2118924134362.

It is a super-2 number, since 2×26343142981122 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2634314298113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36379062 + ... + 36451402.

It is an arithmetic number, because the mean of its divisors is an integer number (56657723892).

Almost surely, 22634314298112 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 2634314298112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059517090168).

2634314298112 is an abundant number, since it is smaller than the sum of its proper divisors (3484719882224).

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

2634314298112 is an equidigital number, since it uses as much as digits as its factorization.

2634314298112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75274 (or 75253 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The spelling of 2634314298112 in words is "two trillion, six hundred thirty-four billion, three hundred fourteen million, two hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 2903 3136 5806 6272 11612 12544 20321 23224 40642 46448 72341 81284 92896 142247 144682 162568 185792 284494 289364 325136 371584 506387 568988 578728 650272 743168 1012774 1137976 1157456 1300544 2025548 2275952 2314912 2601088 3544709 4051096 4551904 4629824 5202176 7089418 8102192 9103808 9259648 14178836 16204384 18207616 18519296 28357672 32408768 36415232 56715344 64817536 113430688 129635072 210005923 226861376 420011846 453722752 840023692 907445504 1470041461 1680047384 2940082922 3360094768 5880165844 6720189536 10290290227 11760331688 13440379072 20580580454 23520663376 26880758144 41161160908 47041326752 53761516288 82322321816 94082653504 164644643632 188165307008 329289287264 376330614016 658578574528 1317157149056 2634314298112