Search a number
-
+
408156053032 = 237213194215443
BaseRepresentation
bin1011111000001111111…
…11110001111000101000
31110000112002121210102001
411330013333301320220
523141400422144112
6511300532420344
741326326131200
oct5740777617050
91400462553361
10408156053032
111481094a67a2
126712a7776b4
132c6482bc520
1415a7d48d400
15a93c96bc57
hex5f07ff1e28

408156053032 has 96 divisors (see below), whose sum is σ = 1009177293600. Its totient is φ = 152969959296.

The previous prime is 408156053009. The next prime is 408156053099. The reversal of 408156053032 is 230350651804.

It is a junction number, because it is equal to n+sod(n) for n = 408156052982 and 408156053000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2010898 + ... + 2204545.

It is an arithmetic number, because the mean of its divisors is an integer number (10512263475).

Almost surely, 2408156053032 is an apocalyptic number.

It is an amenable number.

408156053032 is an abundant number, since it is smaller than the sum of its proper divisors (601021240568).

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

408156053032 is a wasteful number, since it uses less digits than its factorization.

408156053032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215495 (or 4215484 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 408156053032 in words is "four hundred eight billion, one hundred fifty-six million, fifty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 49 52 56 76 91 98 104 133 152 182 196 247 266 364 392 494 532 637 728 931 988 1064 1274 1729 1862 1976 2548 3458 3724 5096 6916 7448 12103 13832 24206 48412 96824 4215443 8430886 16861772 29508101 33723544 54800759 59016202 80093417 109601518 118032404 160186834 206556707 219203036 236064808 320373668 383605313 413113414 438406072 560653919 640747336 767210626 826226828 1041214421 1121307838 1534421252 1652453656 2082428842 2242615676 2685237191 3068842504 3924577433 4164857684 4485231352 5370474382 7288500947 7849154866 8329715368 10740948764 14577001894 15698309732 21481897528 29154003788 31396619464 51019506629 58308007576 102039013258 204078026516 408156053032