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56610161145 = 335101103173233
BaseRepresentation
bin110100101110001110…
…101000000111111001
312102010021000011001000
4310232032220013321
51411414200124040
642001212115213
74042565300406
oct645616500771
9172107004030
1056610161145
112200aa61a4a
12ab7a765b09
135452381395
142a505ad2ad
151714d56130
hexd2e3a81f9

56610161145 has 128 divisors (see below), whose sum is σ = 103659678720. Its totient is φ = 29305497600.

The previous prime is 56610161141. The next prime is 56610161147. The reversal of 56610161145 is 54116101665.

It is not a de Polignac number, because 56610161145 - 22 = 56610161141 is a prime.

It is a super-2 number, since 2×566101611452 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56610161141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 242961949 + ... + 242962181.

It is an arithmetic number, because the mean of its divisors is an integer number (809841240).

Almost surely, 256610161145 is an apocalyptic number.

It is an amenable number.

56610161145 is a deficient number, since it is larger than the sum of its proper divisors (47049517575).

56610161145 is a wasteful number, since it uses less digits than its factorization.

56610161145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 56610161145 in words is "fifty-six billion, six hundred ten million, one hundred sixty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 101 103 135 173 233 303 309 505 515 519 699 865 909 927 1165 1515 1545 1557 2097 2595 2727 2781 3495 4545 4635 4671 6291 7785 10403 10485 13635 13905 17473 17819 23355 23533 23999 31209 31455 40309 52015 52419 53457 70599 71997 87365 89095 93627 117665 119995 120927 156045 157257 160371 201545 211797 215991 262095 267285 280881 352995 359985 362781 468135 471771 481113 604635 635391 647973 786285 801855 1058985 1079955 1088343 1404405 1799719 1813905 2358855 2405565 2423899 3176955 3239865 4071209 4151827 5399157 5441715 7271697 8998595 12119495 12213627 12455481 16197471 20356045 20759135 21815091 26995785 36358485 36640881 37366443 48592413 61068135 62277405 65445273 80987355 109075455 109922643 112099329 183204405 186832215 242962065 327226365 419334527 549613215 560496645 1258003581 2096672635 3774010743 6290017905 11322032229 18870053715 56610161145