Search a number
-
+
406463450372 = 227416119130389
BaseRepresentation
bin1011110101000110001…
…11000000110100000100
31102212011010200200001122
411322203013000310010
523124414120402442
6510420550213112
741236354215440
oct5724307006404
91385133620048
10406463450372
11147420026321
1266937954198
132c438732ca5
141595c771820
15a88e079dd2
hex5ea31c0d04

406463450372 has 96 divisors (see below), whose sum is σ = 850865541120. Its totient is φ = 166283136000.

The previous prime is 406463450369. The next prime is 406463450377. The reversal of 406463450372 is 273054364604.

It is a super-2 number, since 2×4064634503722 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406463450377) 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, 13360154 + ... + 13390542.

It is an arithmetic number, because the mean of its divisors is an integer number (8863182720).

Almost surely, 2406463450372 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 406463450372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425432770560).

406463450372 is an abundant number, since it is smaller than the sum of its proper divisors (444402090748).

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

406463450372 is a wasteful number, since it uses less digits than its factorization.

406463450372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30693 (or 30691 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 44.

The spelling of 406463450372 in words is "four hundred six billion, four hundred sixty-three million, four hundred fifty thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 28 41 61 82 122 164 191 244 287 382 427 574 764 854 1148 1337 1708 2501 2674 5002 5348 7831 10004 11651 15662 17507 23302 30389 31324 35014 46604 54817 60778 70028 81557 109634 121556 163114 212723 219268 326228 425446 477691 850892 955382 1245949 1853729 1910764 2491898 3343837 3707458 4983796 5804299 6687674 7414916 8721643 11608598 12976103 13375348 17443286 23217196 25952206 34886572 40630093 51904412 76002889 81260186 152005778 162520372 237976259 304011556 354062239 475952518 532020223 708124478 951905036 1064040446 1416248956 1665833813 2128080892 2478435673 3331667626 4956871346 6663335252 9913742692 14516551799 29033103598 58066207196 101615862593 203231725186 406463450372