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34018935496 = 23713233165539
BaseRepresentation
bin11111101011101011…
…111100001011001000
310020210211121222102221
4133223223330023020
51024132321413441
623343355503424
72313010115650
oct375353741310
9106724558387
1034018935496
1113477890827
126714a57b74
133291bb6540
14190a0cb360
15d4188e8d1
hex7ebafc2c8

34018935496 has 128 divisors (see below), whose sum is σ = 84562329600. Its totient is φ = 12457463040.

The previous prime is 34018935463. The next prime is 34018935521. The reversal of 34018935496 is 69453981043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 486295 + ... + 551833.

It is an arithmetic number, because the mean of its divisors is an integer number (660643200).

Almost surely, 234018935496 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 34018935496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42281164800).

34018935496 is an abundant number, since it is smaller than the sum of its proper divisors (50543394104).

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

34018935496 is a wasteful number, since it uses less digits than its factorization.

34018935496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65619 (or 65615 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 34018935496 in words is "thirty-four billion, eighteen million, nine hundred thirty-five thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 23 26 28 31 46 52 56 62 91 92 104 124 161 182 184 217 248 299 322 364 403 434 598 644 713 728 806 868 1196 1288 1426 1612 1736 2093 2392 2821 2852 3224 4186 4991 5642 5704 8372 9269 9982 11284 16744 18538 19964 22568 37076 39928 64883 65539 74152 129766 131078 259532 262156 458773 519064 524312 852007 917546 1507397 1704014 1835092 2031709 3014794 3408028 3670184 4063418 5964049 6029588 6816056 8126836 10551779 11928098 12059176 14221963 16253672 19596161 21103558 23856196 26412217 28443926 39192322 42207116 46729307 47712392 52824434 56887852 78384644 84414232 93458614 105648868 113775704 137173127 156769288 184885519 186917228 211297736 274346254 327105149 369771038 373834456 548692508 607480991 654210298 739542076 1097385016 1214961982 1308420596 1479084152 2429923964 2616841192 4252366937 4859847928 8504733874 17009467748 34018935496