Search a number
-
+
274606681632 = 2535353971439
BaseRepresentation
bin1111111110111111010…
…1010110111000100000
3222020210210220210120020
43333233311112320200
513444343302303012
6330052542113440
725561003165233
oct3775765267040
9866723823506
10274606681632
11a6507349378
124527927b880
131cb83c8313a
14d41085341a
1572231e7a8c
hex3fefd56e20

274606681632 has 48 divisors (see below), whose sum is σ = 734443355520. Its totient is φ = 89808472832.

The previous prime is 274606681577. The next prime is 274606681649. The reversal of 274606681632 is 236186606472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26980632 + ... + 26990807.

It is an arithmetic number, because the mean of its divisors is an integer number (15300903240).

Almost surely, 2274606681632 is an apocalyptic number.

It is an amenable number.

274606681632 is an abundant number, since it is smaller than the sum of its proper divisors (459836673888).

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

274606681632 is a wasteful number, since it uses less digits than its factorization.

274606681632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53971505 (or 53971497 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 274606681632 in words is "two hundred seventy-four billion, six hundred six million, six hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 53971439 107942878 161914317 215885756 323828634 431771512 647657268 863543024 1295314536 1727086048 2590629072 2860486267 5181258144 5720972534 8581458801 11441945068 17162917602 22883890136 34325835204 45767780272 68651670408 91535560544 137303340816 274606681632