Search a number
-
+
146947083840 = 2632551023293
BaseRepresentation
bin1000100011011010111…
…0101000111001000000
3112001021222212022012200
42020312232220321000
54401421423140330
6151301225553200
713421325414024
oct2106656507100
9461258768180
10146947083840
1157357886047
1224590345800
1310b1ac2b3ab
147180132384
153c50a86a60
hex2236ba8e40

146947083840 has 84 divisors (see below), whose sum is σ = 505436750364. Its totient is φ = 39185888256.

The previous prime is 146947083839. The next prime is 146947083863. The reversal of 146947083840 is 48380749641.

146947083840 is a `hidden beast` number, since 14 + 6 + 9 + 470 + 83 + 84 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115507538496 + 31439545344 = 339864^2 + 177312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25508767 + ... + 25514526.

It is an arithmetic number, because the mean of its divisors is an integer number (6017104171).

Almost surely, 2146947083840 is an apocalyptic number.

146947083840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146947083840 is an abundant number, since it is smaller than the sum of its proper divisors (358489666524).

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

146947083840 is a wasteful number, since it uses less digits than its factorization.

146947083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51023316 (or 51023303 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 146947083840 in words is "one hundred forty-six billion, nine hundred forty-seven million, eighty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 51023293 102046586 153069879 204093172 255116465 306139758 408186344 459209637 510232930 612279516 765349395 816372688 918419274 1020465860 1224559032 1530698790 1632745376 1836838548 2040931720 2296048185 2449118064 3061397580 3265490752 3673677096 4081863440 4592096370 4898236128 6122795160 7347354192 8163726880 9184192740 9796472256 12245590320 14694708384 16327453760 18368385480 24491180640 29389416768 36736770960 48982361280 73473541920 146947083840