Search a number
-
+
5561011060968 = 23311172293540377
BaseRepresentation
bin101000011101100011000…
…0101101100000011101000
3201200121221102101212022110
41100323012011230003220
51212102422312422333
615454405422322320
71112525016046026
oct120730605540350
921617842355273
105561011060968
1118544588500a0
127599174293a0
1331452a27cb3c
14153223849716
15999c4721063
hex50ec616c0e8

5561011060968 has 128 divisors (see below), whose sum is σ = 16065567630720. Its totient is φ = 1585333493760.

The previous prime is 5561011060967. The next prime is 5561011061029. The reversal of 5561011060968 is 8690601101655.

It is not an unprimeable number, because it can be changed into a prime (5561011060967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10020796 + ... + 10561172.

It is an arithmetic number, because the mean of its divisors is an integer number (125512247115).

Almost surely, 25561011060968 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 5561011060968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8032783815360).

5561011060968 is an abundant number, since it is smaller than the sum of its proper divisors (10504556569752).

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

5561011060968 is a wasteful number, since it uses less digits than its factorization.

5561011060968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542707 (or 542703 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 5561011060968 in words is "five trillion, five hundred sixty-one billion, eleven million, sixty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 2293 4488 4586 6879 9172 13758 18344 25223 27516 38981 50446 55032 75669 77962 100892 116943 151338 155924 201784 233886 302676 311848 428791 467772 540377 605352 857582 935544 1080754 1286373 1621131 1715164 2161508 2572746 3242262 3430328 4323016 5145492 5944147 6484524 9186409 10290984 11888294 12969048 17832441 18372818 23776588 27559227 35664882 36745636 47553176 55118454 71329764 73491272 101050499 110236908 142659528 202100998 220473816 303151497 404201996 606302994 808403992 1212605988 1239084461 2425211976 2478168922 3717253383 4956337844 7434506766 9912675688 13629929071 14869013532 21064435837 27259858142 29738027064 40889787213 42128871674 54519716284 63193307511 81779574426 84257743348 109039432568 126386615022 163559148852 168515486696 231708794207 252773230044 327118297704 463417588414 505546460088 695126382621 926835176828 1390252765242 1853670353656 2780505530484 5561011060968