Search a number
-
+
1361772502152 = 233293799295557
BaseRepresentation
bin10011110100001111111…
…101110101110010001000
311211011222021012200211020
4103310033331311302020
5134302402230032102
62521331210432440
7200245664166006
oct23641775656210
94734867180736
101361772502152
11485585092367
1219bb06a32720
139b550b3756a
1449ca55d7a76
152565209dbbc
hex13d0ff75c88

1361772502152 has 128 divisors (see below), whose sum is σ = 3535554960000. Its totient is φ = 436566122496.

The previous prime is 1361772502087. The next prime is 1361772502219. The reversal of 1361772502152 is 2512052771631.

It is a happy number.

It is a super-2 number, since 2×13617725021522 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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, 245052558 + ... + 245058114.

It is an arithmetic number, because the mean of its divisors is an integer number (27621523125).

Almost surely, 21361772502152 is an apocalyptic number.

1361772502152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361772502152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767777480000).

1361772502152 is an abundant number, since it is smaller than the sum of its proper divisors (2173782457848).

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

1361772502152 is a wasteful number, since it uses less digits than its factorization.

1361772502152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 1361772502152 in words is "one trillion, three hundred sixty-one billion, seven hundred seventy-two million, five hundred two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 379 696 758 929 1137 1516 1858 2274 2787 3032 3716 4548 5557 5574 7432 9096 10991 11114 11148 16671 21982 22228 22296 26941 32973 33342 43964 44456 53882 65946 66684 80823 87928 107764 131892 133368 161153 161646 215528 263784 322306 323292 352091 483459 644612 646584 704182 966918 1056273 1289224 1408364 1933836 2106103 2112546 2816728 3867672 4212206 4225092 5162453 6318309 8424412 8450184 10210639 10324906 12636618 15487359 16848824 20421278 20649812 25273236 30631917 30974718 40842556 41299624 50546472 61076987 61263834 61949436 81685112 122153974 122527668 123898872 149711137 183230961 244307948 245055336 299422274 366461922 449133411 488615896 598844548 732923844 898266822 1197689096 1465847688 1796533644 1956569687 3593067288 3913139374 5869709061 7826278748 11739418122 15652557496 23478836244 46957672488 56740520923 113481041846 170221562769 226962083692 340443125538 453924167384 680886251076 1361772502152