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3449543426064 = 2433233115329723
BaseRepresentation
bin110010001100101000110…
…011111000000000010000
3110012202212121112110101000
4302030220303320000100
5423004131104113224
611200410503142000
7504135621221361
oct62145063700020
913182777473330
103449543426064
11110aa4137539a
12478665144900
131c03a144bc68
14bcd5ccd9b68
155eae58960c9
hex32328cf8010

3449543426064 has 160 divisors (see below), whose sum is σ = 9952922079360. Its totient is φ = 1143881367552.

The previous prime is 3449543426051. The next prime is 3449543426081. The reversal of 3449543426064 is 4606243459443.

It is a happy number.

3449543426064 is a `hidden beast` number, since 3 + 4 + 4 + 95 + 434 + 2 + 60 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3449543426064.

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, 116041507 + ... + 116071229.

It is an arithmetic number, because the mean of its divisors is an integer number (62205762996).

Almost surely, 23449543426064 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 3449543426064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976461039680).

3449543426064 is an abundant number, since it is smaller than the sum of its proper divisors (6503378653296).

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

3449543426064 is a wasteful number, since it uses less digits than its factorization.

3449543426064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31126 (or 31114 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 3449543426064 in words is "three trillion, four hundred forty-nine billion, five hundred forty-three million, four hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 233 432 466 699 932 1153 1398 1864 2097 2306 2796 3459 3728 4194 4612 5592 6291 6918 8388 9224 10377 11184 12582 13836 16776 18448 20754 25164 27672 29723 31131 33552 41508 50328 55344 59446 62262 83016 89169 100656 118892 124524 166032 178338 237784 249048 267507 268649 356676 475568 498096 535014 537298 713352 802521 805947 1070028 1074596 1426704 1605042 1611894 2140056 2149192 2417841 3210084 3223788 4280112 4298384 4835682 6420168 6447576 6925459 7253523 9671364 12840336 12895152 13850918 14507046 19342728 20776377 27701836 29014092 34270619 38685456 41552754 55403672 58028184 62329131 68541238 83105508 102811857 110807344 116056368 124658262 137082476 166211016 186987393 205623714 249316524 274164952 308435571 332422032 373974786 411247428 498633048 548329904 616871142 747949572 822494856 925306713 997266096 1233742284 1495899144 1644989712 1850613426 2467484568 2991798288 3701226852 4934969136 7402453704 7985054227 14804907408 15970108454 23955162681 31940216908 47910325362 63880433816 71865488043 95820650724 127760867632 143730976086 191641301448 215596464129 287461952172 383282602896 431192928258 574923904344 862385856516 1149847808688 1724771713032 3449543426064