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6198335408112 = 2432930766121943
BaseRepresentation
bin101101000110010100110…
…0101001000011111110000
3210221112222122121012121020
41122030221211020133300
51303023142331024422
621103250451055440
71206546346444461
oct132145145103760
923845878535536
106198335408112
111a7a776825081
12841341ba1580
1335c66784c153
14176002ba4d68
15ab3761ee95c
hex5a3299487f0

6198335408112 has 160 divisors (see below), whose sum is σ = 16644373025280. Its totient is φ = 1985270031360.

The previous prime is 6198335408101. The next prime is 6198335408261. The reversal of 6198335408112 is 2118045338916.

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, 282463413 + ... + 282485355.

It is an arithmetic number, because the mean of its divisors is an integer number (104027331408).

Almost surely, 26198335408112 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 6198335408112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8322186512640).

6198335408112 is an abundant number, since it is smaller than the sum of its proper divisors (10446037617168).

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

6198335408112 is a wasteful number, since it uses less digits than its factorization.

6198335408112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22951 (or 22945 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 6198335408112 in words is "six trillion, one hundred ninety-eight billion, three hundred thirty-five million, four hundred eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 307 348 464 614 661 696 921 1228 1322 1392 1842 1983 2456 2644 3684 3966 4912 5288 7368 7932 8903 10576 14736 15864 17806 19169 21943 26709 31728 35612 38338 43886 53418 57507 65829 71224 76676 87772 106836 115014 131658 142448 153352 175544 202927 213672 230028 263316 306704 351088 405854 427344 460056 526632 608781 636347 811708 920112 1053264 1217562 1272694 1623416 1909041 2435124 2545388 3246832 3818082 4870248 5090776 5884883 6736501 7636164 9740496 10181552 11769766 13473002 14504323 15272328 17654649 20209503 23539532 26946004 29008646 30544656 35309298 40419006 43512969 47079064 53892008 58017292 70618596 80838012 87025938 94158128 107784016 116034584 141237192 161676024 174051876 195358529 232069168 282474384 323352048 348103752 390717058 420625367 586075587 696207504 781434116 841250734 1172151174 1261876101 1562868232 1682501468 2344302348 2523752202 3125736464 3365002936 4452827161 4688604696 5047504404 6730005872 8905654322 9377209392 10095008808 13358481483 17811308644 20190017616 26716962966 35622617288 53433925932 71245234576 106867851864 129131987669 213735703728 258263975338 387395963007 516527950676 774791926014 1033055901352 1549583852028 2066111802704 3099167704056 6198335408112