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34849549848 = 233471011132707
BaseRepresentation
bin100000011101001100…
…011110111000011000
310022221201120120010110
4200131030132320120
51032332441043343
624002030444320
72342414200101
oct403514367030
9108851516113
1034849549848
1113863731673
1269070636a0
133394cc7c19
1419885453a8
15d8e762833
hex81d31ee18

34849549848 has 128 divisors (see below), whose sum is σ = 90687237120. Its totient is φ = 11153049600.

The previous prime is 34849549841. The next prime is 34849549849. The reversal of 34849549848 is 84894594843.

It is a super-2 number, since 2×348495498482 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34849549841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12872511 + ... + 12875217.

It is an arithmetic number, because the mean of its divisors is an integer number (708494040).

Almost surely, 234849549848 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 34849549848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45343618560).

34849549848 is an abundant number, since it is smaller than the sum of its proper divisors (55837687272).

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

34849549848 is a wasteful number, since it uses less digits than its factorization.

34849549848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2973 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 66.

The spelling of 34849549848 in words is "thirty-four billion, eight hundred forty-nine million, five hundred forty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 101 113 141 188 202 226 282 303 339 376 404 452 564 606 678 808 904 1128 1212 1356 2424 2707 2712 4747 5311 5414 8121 9494 10622 10828 11413 14241 15933 16242 18988 21244 21656 22826 28482 31866 32484 34239 37976 42488 45652 56964 63732 64968 68478 91304 113928 127229 127464 136956 254458 273407 273912 305891 381687 508916 536411 546814 611782 763374 820221 917673 1017832 1072822 1093628 1223564 1526748 1609233 1640442 1835346 2145644 2187256 2447128 3053496 3218466 3280884 3670692 4291288 6436932 6561768 7341384 12850129 12873864 14376877 25700258 28753754 30894991 38550387 43130631 51400516 57507508 61789982 77100774 86261262 92684973 102801032 115015016 123579964 154201548 172522524 185369946 247159928 308403096 345045048 370739892 741479784 1452064577 2904129154 4356193731 5808258308 8712387462 11616516616 17424774924 34849549848