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84321411412348 = 221123607137267797
BaseRepresentation
bin10011001011000010011011…
…110001100011000101111100
3102001120001022010211012022101
4103023002123301203011330
542023010222310143343
6455200415512354444
723522010116056615
oct2313023361430574
9361501263735271
1084321411412348
112495a567540010
12955a07a0a5a24
1338086236aa2c6
1416b726c960c0c
159b35d7bb9e4d
hex4cb09bc6317c

84321411412348 has 48 divisors (see below), whose sum is σ = 168252983506944. Its totient is φ = 36601085125440.

The previous prime is 84321411412331. The next prime is 84321411412351.

84321411412348 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×843214114123482 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 84321411412298 and 84321411412307.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 68019615 + ... + 69248182.

It is an arithmetic number, because the mean of its divisors is an integer number (3505270489728).

Almost surely, 284321411412348 is an apocalyptic number.

It is an amenable number.

84321411412348 is a deficient number, since it is larger than the sum of its proper divisors (83931572094596).

84321411412348 is a wasteful number, since it uses less digits than its factorization.

84321411412348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137268442 (or 137268440 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

It can be divided in two parts, 8432141 and 1412348, that added together give a palindrome (9844489).

The spelling of 84321411412348 in words is "eighty-four trillion, three hundred twenty-one billion, four hundred eleven million, four hundred twelve thousand, three hundred forty-eight".

Divisors: 1 2 4 11 22 23 44 46 92 253 506 607 1012 1214 2428 6677 13354 13961 26708 27922 55844 153571 307142 614284 137267797 274535594 549071188 1509945767 3019891534 3157159331 6039783068 6314318662 12628637324 34728752641 69457505282 83321552779 138915010564 166643105558 333286211116 916537080569 1833074161138 1916395713917 3666148322276 3832791427834 7665582855668 21080352853087 42160705706174 84321411412348