Search a number
-
+
5690330415104 = 2152925123857
BaseRepresentation
bin101001011001110001000…
…0111111000000000000000
3202010222201220120201100012
41102303202013320000000
51221212244041240404
620034033545044052
71125053456321066
oct122634207700000
922128656521305
105690330415104
1118a428a199985
1277a9a8186628
1332379913072a
141595b0778036
159d042936a6e
hex52ce21f8000

5690330415104 has 128 divisors (see below), whose sum is σ = 11820317266800. Its totient is φ = 2735996928000.

The previous prime is 5690330415103. The next prime is 5690330415149. The reversal of 5690330415104 is 4015140330965.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5690330415103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238506344 + ... + 238530200.

Almost surely, 25690330415104 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 5690330415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5910158633400).

5690330415104 is an abundant number, since it is smaller than the sum of its proper divisors (6129986851696).

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

5690330415104 is an equidigital number, since it uses as much as digits as its factorization.

5690330415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24167 (or 24139 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 5690330415104 in words is "five trillion, six hundred ninety billion, three hundred thirty million, four hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 251 256 464 502 512 928 1004 1024 1856 2008 2048 3712 4016 4096 7279 7424 8032 8192 14558 14848 16064 16384 23857 29116 29696 32128 32768 47714 58232 59392 64256 95428 116464 118784 128512 190856 232928 237568 257024 381712 465856 475136 514048 691853 763424 931712 950272 1028096 1383706 1526848 1863424 2056192 2767412 3053696 3726848 4112384 5534824 5988107 6107392 7453696 8224768 11069648 11976214 12214784 14907392 22139296 23952428 24429568 29814784 44278592 47904856 48859136 59629568 88557184 95809712 97718272 119259136 173655103 177114368 191619424 195436544 238518272 347310206 354228736 383238848 390873088 694620412 708457472 766477696 781746176 1389240824 1416914944 1532955392 2778481648 2833829888 3065910784 5556963296 5667659776 6131821568 11113926592 11335319552 12263643136 22227853184 22670639104 24527286272 44455706368 49054572544 88911412736 98109145088 177822825472 196218290176 355645650944 711291301888 1422582603776 2845165207552 5690330415104