Search a number
-
+
3405577393932 = 2237217536428189
BaseRepresentation
bin110001100011101100001…
…110110001011100001100
3110001120101112200121120120
4301203230032301130030
5421244110303101212
611124300050344540
7501021245136600
oct61435416613414
913046345617516
103405577393932
1110a332a72374a
12470034b8b150
131b91b580c02c
14bab8badb500
155d8c0ae888c
hex318ec3b170c

3405577393932 has 144 divisors (see below), whose sum is σ = 9972128285280. Its totient is φ = 898506405888.

The previous prime is 3405577393927. The next prime is 3405577393957. The reversal of 3405577393932 is 2393937755043.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2684307 + ... + 3743882.

It is an arithmetic number, because the mean of its divisors is an integer number (69250890870).

Almost surely, 23405577393932 is an apocalyptic number.

It is an amenable number.

3405577393932 is an abundant number, since it is smaller than the sum of its proper divisors (6566550891348).

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

3405577393932 is a wasteful number, since it uses less digits than its factorization.

3405577393932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6428280 (or 6428271 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 60.

The spelling of 3405577393932 in words is "three trillion, four hundred five billion, five hundred seventy-seven million, three hundred ninety-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 53 68 84 98 102 106 119 147 159 196 204 212 238 294 318 357 371 476 588 636 714 742 833 901 1113 1428 1484 1666 1802 2226 2499 2597 2703 3332 3604 4452 4998 5194 5406 6307 7791 9996 10388 10812 12614 15582 18921 25228 31164 37842 44149 75684 88298 132447 176596 264894 529788 6428189 12856378 19284567 25712756 38569134 44997323 77138268 89994646 109279213 134991969 179989292 218558426 269983938 314981261 327837639 340694017 437116852 539967876 629962522 655675278 681388034 764954491 944943783 1022082051 1259925044 1311350556 1362776068 1529908982 1889887566 2044164102 2294863473 2384858119 3059817964 3779775132 4088328204 4589726946 4769716238 5354681437 5791798289 7154574357 9179453892 9539432476 10709362874 11583596578 14309148714 16064044311 16694006833 17375394867 21418725748 23167193156 28618297428 32128088622 33388013666 34750789734 40542588023 50082020499 64256177244 66776027332 69501579468 81085176046 100164040998 121627764069 162170352092 200328081996 243255528138 283798116161 486511056276 567596232322 851394348483 1135192464644 1702788696966 3405577393932