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13419162027888 = 243312421691001
BaseRepresentation
bin1100001101000110010001…
…1000101100011101110000
31202111212012110210202212220
43003101210120230131300
53224324420434343023
644312402233321040
72553334226142051
oct303214430543560
952455173722786
1013419162027888
114304042145281
121608882266180
137645631b49a6
143456c309c728
151840e34733e3
hexc346462c770

13419162027888 has 120 divisors (see below), whose sum is σ = 35905641387408. Its totient is φ = 4318473600000.

The previous prime is 13419162027881. The next prime is 13419162027889. The reversal of 13419162027888 is 88872026191431.

It is a super-2 number, since 2×134191620278882 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13419162027881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19074388 + ... + 19765388.

Almost surely, 213419162027888 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 13419162027888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17952820693704).

13419162027888 is an abundant number, since it is smaller than the sum of its proper divisors (22486479359520).

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

13419162027888 is a wasteful number, since it uses less digits than its factorization.

13419162027888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691495 (or 691458 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 13419162027888 in words is "thirteen trillion, four hundred nineteen billion, one hundred sixty-two million, twenty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 421 496 744 842 961 1263 1488 1684 1922 2526 2883 3368 3844 5052 5766 6736 7688 10104 11532 13051 15376 20208 23064 26102 39153 46128 52204 78306 104408 156612 208816 313224 404581 626448 691001 809162 1213743 1382002 1618324 2073003 2427486 2764004 3236648 4146006 4854972 5528008 6473296 8292012 9709944 11056016 16584024 19419888 21421031 33168048 42842062 64263093 85684124 128526186 171368248 257052372 290911421 342736496 514104744 581822842 664051961 872734263 1028209488 1163645684 1328103922 1745468526 1992155883 2327291368 2656207844 3490937052 3984311766 4654582736 5312415688 6981874104 7968623532 9018254051 10624831376 13963748208 15937247064 18036508102 27054762153 31874494128 36073016204 54109524306 72146032408 108219048612 144292064816 216438097224 279565875581 432876194448 559131751162 838697626743 1118263502324 1677395253486 2236527004648 3354790506972 4473054009296 6709581013944 13419162027888