Search a number
-
+
1056623412117 = 371329223598487
BaseRepresentation
bin11110110000000111010…
…10011100001110010101
310202000022220100210102210
433120003222130032111
5114302431043141432
62125223414424033
7136224053546130
oct17300352341625
93660286323383
101056623412117
11378125408559
12150945062019
1378840309420
14391d86a5217
151c7428388cc
hexf603a9c395

1056623412117 has 64 divisors (see below), whose sum is σ = 1801784033280. Its totient is φ = 535707212544.

The previous prime is 1056623412083. The next prime is 1056623412181. The reversal of 1056623412117 is 7112143266501.

1056623412117 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1056623412117 - 212 = 1056623408021 is a prime.

It is a super-2 number, since 2×10566234121172 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056623412017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1466248 + ... + 2064734.

It is an arithmetic number, because the mean of its divisors is an integer number (28152875520).

Almost surely, 21056623412117 is an apocalyptic number.

It is an amenable number.

1056623412117 is a deficient number, since it is larger than the sum of its proper divisors (745160621163).

1056623412117 is a wasteful number, since it uses less digits than its factorization.

1056623412117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598762.

The product of its (nonzero) digits is 60480, while the sum is 39.

Adding to 1056623412117 its reverse (7112143266501), we get a palindrome (8168766678618).

The spelling of 1056623412117 in words is "one trillion, fifty-six billion, six hundred twenty-three million, four hundred twelve thousand, one hundred seventeen".

Divisors: 1 3 7 13 21 29 39 87 91 203 223 273 377 609 669 1131 1561 2639 2899 4683 6467 7917 8697 19401 20293 45269 60879 84071 135807 252213 588497 598487 1765491 1795461 4189409 7780331 12568227 17356123 23340993 52068369 54462317 121492861 133462601 163386951 225629599 364478583 400387803 676888797 934238207 1579407193 1735013813 2802714621 3870415429 4738221579 5205041439 11611246287 12145096691 27092908003 36435290073 50315400577 81278724009 150946201731 352207804039 1056623412117