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3347431380816 = 2432912744342743
BaseRepresentation
bin110000101101100010011…
…101010101011101010000
3102212000022020201002201020
4300231202131111131100
5414321014413141231
611041442211435440
7463562320160505
oct60554235253520
912760266632636
103347431380816
111080701824456
12460907bb5b80
131b387a1c4c03
14b80335754ac
155c11b015396
hex30b62755750

3347431380816 has 160 divisors (see below), whose sum is σ = 9036724469760. Its totient is φ = 1066413583872.

The previous prime is 3347431380803. The next prime is 3347431380823. The reversal of 3347431380816 is 6180831347433.

It is a super-2 number, since 2×33474313808162 (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, 78293941 + ... + 78336683.

It is an arithmetic number, because the mean of its divisors is an integer number (56479527936).

Almost surely, 23347431380816 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 3347431380816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518362234880).

3347431380816 is an abundant number, since it is smaller than the sum of its proper divisors (5689293088944).

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

3347431380816 is a wasteful number, since it uses less digits than its factorization.

3347431380816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43353 (or 43347 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 3347431380816 in words is "three trillion, three hundred forty-seven billion, four hundred thirty-one million, three hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 127 174 232 254 348 381 443 464 508 696 762 886 1016 1329 1392 1524 1772 2032 2658 3048 3544 3683 5316 6096 7088 7366 10632 11049 12847 14732 21264 22098 25694 29464 38541 42743 44196 51388 56261 58928 77082 85486 88392 102776 112522 128229 154164 168783 170972 176784 205552 225044 256458 308328 337566 341944 450088 512916 616656 675132 683888 900176 1025832 1239547 1350264 1631569 2051664 2479094 2700528 3263138 3718641 4894707 4958188 5428361 6526276 7437282 9789414 9916376 10856722 13052552 14874564 16285083 18935149 19578828 19832752 21713444 26105104 29749128 32570166 37870298 39157656 43426888 56805447 59498256 65140332 75740596 78315312 86853776 113610894 130280664 151481192 157422469 227221788 260561328 302962384 314844938 454443576 472267407 549119321 629689876 908887152 944534814 1098238642 1259379752 1647357963 1889069628 2196477284 2404763923 2518759504 3294715926 3778139256 4392954568 4809527846 6589431852 7214291769 7556278512 8785909136 9619055692 13178863704 14428583538 19238111384 26357727408 28857167076 38476222768 57714334152 69738153767 115428668304 139476307534 209214461301 278952615068 418428922602 557905230136 836857845204 1115810460272 1673715690408 3347431380816