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2455122134352 = 2432313917392479
BaseRepresentation
bin100011101110100000101…
…011101100010101010000
322200201002200102202222110
4203232200223230111100
5310211042231244402
65115511215505320
7342243133550106
oct43564053542520
98621080382873
102455122134352
11867236492618
1233799b528240
1314a694b94554
1486b85757c76
1543ce3c9a56c
hex23ba0aec550

2455122134352 has 160 divisors (see below), whose sum is σ = 6704370892800. Its totient is φ = 772660348416.

The previous prime is 2455122134287. The next prime is 2455122134359. The reversal of 2455122134352 is 2534312215542.

It is a self number, because there is not a number n which added to its sum of digits gives 2455122134352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2455122134359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26501649 + ... + 26594127.

It is an arithmetic number, because the mean of its divisors is an integer number (41902318080).

Almost surely, 22455122134352 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 2455122134352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352185446400).

2455122134352 is an abundant number, since it is smaller than the sum of its proper divisors (4249248758448).

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

2455122134352 is a wasteful number, since it uses less digits than its factorization.

2455122134352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92825 (or 92819 counting only the distinct ones).

The product of its digits is 288000, while the sum is 39.

Adding to 2455122134352 its reverse (2534312215542), we get a palindrome (4989434349894).

The spelling of 2455122134352 in words is "two trillion, four hundred fifty-five billion, one hundred twenty-two million, one hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 139 173 184 276 278 346 368 417 519 552 556 692 834 1038 1104 1112 1384 1668 2076 2224 2768 3197 3336 3979 4152 6394 6672 7958 8304 9591 11937 12788 15916 19182 23874 24047 25576 31832 38364 47748 48094 51152 63664 72141 76728 92479 95496 96188 144282 153456 184958 190992 192376 277437 288564 369916 384752 553081 554874 577128 739832 1106162 1109748 1154256 1479664 1659243 2127017 2212324 2219496 3318486 4254034 4424648 4438992 6381051 6636972 8508068 8849296 12762102 12854581 13273944 15998867 17016136 25524204 25709162 26547888 31997734 34032272 38563743 47996601 51048408 51418324 63995468 77127486 95993202 102096816 102836648 127990936 154254972 191986404 205673296 255981872 295655363 308509944 367973941 383972808 591310726 617019888 735947882 767945616 886966089 1103921823 1182621452 1471895764 1773932178 2207843646 2223842513 2365242904 2943791528 3547864356 4415687292 4447685026 4730485808 5887583056 6671527539 7095728712 8831374584 8895370052 13343055078 14191457424 17662749168 17790740104 26686110156 35581480208 51148377799 53372220312 102296755598 106744440624 153445133397 204593511196 306890266794 409187022392 613780533588 818374044784 1227561067176 2455122134352