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2145162697722 = 2331147611259639
BaseRepresentation
bin11111001101110101101…
…010010001101111111010
321121002001002001221121000
4133031311222101233322
5240121243122311342
64321250225225430
7310661063035152
oct37156552215772
97532032057530
102145162697722
11757838467160
122a78b6792276
131273988ab595
1475b7da11762
153ac0209244c
hex1f375a91bfa

2145162697722 has 128 divisors (see below), whose sum is σ = 5398111641600. Its totient is φ = 625788158400.

The previous prime is 2145162697709. The next prime is 2145162697771. The reversal of 2145162697722 is 2277962615412.

It is a happy number.

2145162697722 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 1 + 626 + 9 + 7 + 7 + 2 + 2 = 666.

It is a super-3 number, since 3×21451626977223 (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1073179 + ... + 2332817.

It is an arithmetic number, because the mean of its divisors is an integer number (42172747200).

Almost surely, 22145162697722 is an apocalyptic number.

2145162697722 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145162697722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699055820800).

2145162697722 is an abundant number, since it is smaller than the sum of its proper divisors (3252948943878).

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

2145162697722 is a wasteful number, since it uses less digits than its factorization.

2145162697722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259769 (or 1259763 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 2145162697722 in words is "two trillion, one hundred forty-five billion, one hundred sixty-two million, six hundred ninety-seven thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 61 66 94 99 122 141 183 198 282 297 366 423 517 549 594 671 846 1034 1098 1269 1342 1551 1647 2013 2538 2867 3102 3294 4026 4653 5734 6039 8601 9306 12078 13959 17202 18117 25803 27918 31537 36234 51606 63074 77409 94611 154818 189222 283833 567666 851499 1259639 1702998 2519278 3778917 7557834 11336751 13856029 22673502 27712058 34010253 41568087 59203033 68020506 76837979 83136174 118406066 124704261 153675958 177609099 230513937 249408522 355218198 374112783 461027874 532827297 651233363 691541811 748225566 845217769 1065654594 1302466726 1383083622 1598481891 1690435538 1953700089 2074625433 2535653307 3196963782 3611385013 3907400178 4149250866 5071306614 5861100267 7222770026 7606959921 10834155039 11722200534 15213919842 17583300801 21668310078 22820879763 32502465117 35166601602 39725235143 45641759526 65004930234 79450470286 97507395351 119175705429 195014790702 238351410858 357527116287 715054232574 1072581348861 2145162697722