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6123092264952 = 23313232333662119
BaseRepresentation
bin101100100011010010010…
…1111010100011111111000
3210200100202211100111110020
41121012210233110133320
51300310043104434302
621004524301250440
71201243635334245
oct131064457243770
923610684314406
106123092264952
111a50874a55a43
1282a843263a20
13355536094530
14172505ab85cc
15a9420659ebc
hex591a4bd47f8

6123092264952 has 128 divisors (see below), whose sum is σ = 17275831372800. Its totient is φ = 1794379226112.

The previous prime is 6123092264941. The next prime is 6123092264953. The reversal of 6123092264952 is 2594622903216.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6123092264895 and 6123092264904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6123092264953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159052 + ... + 3503067.

It is an arithmetic number, because the mean of its divisors is an integer number (134967432600).

Almost surely, 26123092264952 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 6123092264952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8637915686400).

6123092264952 is an abundant number, since it is smaller than the sum of its proper divisors (11152739107848).

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

6123092264952 is a wasteful number, since it uses less digits than its factorization.

6123092264952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662397 (or 3662393 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 6123092264952 in words is "six trillion, one hundred twenty-three billion, ninety-two million, two hundred sixty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 233 276 299 312 466 552 598 699 897 932 1196 1398 1794 1864 2392 2796 3029 3588 5359 5592 6058 7176 9087 10718 12116 16077 18174 21436 24232 32154 36348 42872 64308 69667 72696 128616 139334 209001 278668 418002 557336 836004 1672008 3662119 7324238 10986357 14648476 21972714 29296952 43945428 47607547 84228737 87890856 95215094 142822641 168457474 190430188 252686211 285645282 336914948 380860376 505372422 571290564 673829896 853273727 1010744844 1094973581 1142581128 1706547454 2021489688 2189947162 2559821181 3284920743 3413094908 4379894324 5119642362 6569841486 6826189816 8759788648 10239284724 11092558451 13139682972 19625295721 20478569448 22185116902 26279365944 33277675353 39250591442 44370233804 58875887163 66555350706 78501182884 88740467608 117751774326 133110701412 157002365768 235503548652 255128844373 266221402824 471007097304 510257688746 765386533119 1020515377492 1530773066238 2041030754984 3061546132476 6123092264952