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3416136608724 = 223737229706569
BaseRepresentation
bin110001101101100001100…
…110111110101111010100
3110002120122102201022011220
4301231201212332233110
5421432221432434344
611133203531130340
7501544023032430
oct61554146765724
913076572638156
103416136608724
1110a785906a044
124720a12a39b0
131ba1a9315018
14bb4b022b9c0
155dcdcb19c19
hex31b619bebd4

3416136608724 has 72 divisors (see below), whose sum is σ = 9362560253760. Its totient is φ = 949659565824.

The previous prime is 3416136608713. The next prime is 3416136608747. The reversal of 3416136608724 is 4278066316143.

It is a super-3 number, since 3×34161366087243 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14738289 + ... + 14968280.

It is an arithmetic number, because the mean of its divisors is an integer number (130035559080).

Almost surely, 23416136608724 is an apocalyptic number.

It is an amenable number.

3416136608724 is an abundant number, since it is smaller than the sum of its proper divisors (5946423645036).

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

3416136608724 is a wasteful number, since it uses less digits than its factorization.

3416136608724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29706657 (or 29706618 counting only the distinct ones).

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

The spelling of 3416136608724 in words is "three trillion, four hundred sixteen billion, one hundred thirty-six million, six hundred eight thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1369 1554 2738 3108 4107 5476 8214 9583 16428 19166 28749 38332 57498 114996 29706569 59413138 89119707 118826276 178239414 207945983 356478828 415891966 623837949 831783932 1099143053 1247675898 2198286106 2495351796 3297429159 4396572212 6594858318 7694001371 13189716636 15388002742 23082004113 30776005484 40668292961 46164008226 81336585922 92328016452 122004878883 162673171844 244009757766 284678050727 488019515532 569356101454 854034152181 1138712202908 1708068304362 3416136608724