Search a number
-
+
445671807077756 = 227612516431616749
BaseRepresentation
bin110010101010101100000110…
…1101111110100110101111100
32011102222210211111211210220002
41211111120031233310311330
5431403341330102442011
64215510445101013432
7162605503562502260
oct14525301557646574
92142883744753802
10445671807077756
1111a006396501086
1241b9a222554278
131618a89547c09c
147c0a8b83620a0
15367ce2e4a0c3b
hex195560dbf4d7c

445671807077756 has 96 divisors (see below), whose sum is σ = 910980318528000. Its totient is φ = 186831398880000.

The previous prime is 445671807077753. The next prime is 445671807077773. The reversal of 445671807077756 is 657770708176544.

It is a happy number.

It is a super-3 number, since 3×4456718070777563 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445671807077753) 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, 274850870 + ... + 276467618.

It is an arithmetic number, because the mean of its divisors is an integer number (9489378318000).

Almost surely, 2445671807077756 is an apocalyptic number.

It is an amenable number.

445671807077756 is an abundant number, since it is smaller than the sum of its proper divisors (465308511450244).

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

445671807077756 is a wasteful number, since it uses less digits than its factorization.

445671807077756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617715 (or 1617713 counting only the distinct ones).

The product of its (nonzero) digits is 1936166400, while the sum is 74.

The spelling of 445671807077756 in words is "four hundred forty-five trillion, six hundred seventy-one billion, eight hundred seven million, seventy-seven thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 28 61 122 244 251 427 502 643 854 1004 1286 1708 1757 2572 3514 4501 7028 9002 15311 18004 30622 39223 61244 78446 107177 156892 161393 214354 274561 322786 428708 549122 645572 1098244 1129751 1616749 2259502 3233498 4519004 6466996 9844973 11317243 19689946 22634486 39379892 45268972 68914811 98621689 137829622 197243378 275659244 394486756 405803999 690351823 811607998 1039569607 1380703646 1623215996 2079139214 2761407292 2840627993 4158278428 5681255986 7276987249 11362511972 14553974498 24754043939 29107948996 49508087878 63413746027 99016175756 126827492054 173278307573 253654984108 260931971357 346556615146 443896222189 521863942714 693113230292 887792444378 1043727885428 1775584888756 1826523799499 3653047598998 7306095197996 15916850252777 31833700505554 63667401011108 111417951769439 222835903538878 445671807077756