Search a number
-
+
43654720164 = 22311439859877
BaseRepresentation
bin101000101010000001…
…100010101010100100
311011200101001120001120
4220222001202222210
51203401102021124
632015452053540
73103542666426
oct505201425244
9134611046046
1043654720164
1117571a51430
128563a642b0
1341692b1383
142181b22816
1512077a6d79
hexa2a062aa4

43654720164 has 96 divisors (see below), whose sum is σ = 111631027200. Its totient is φ = 13168172160.

The previous prime is 43654720163. The next prime is 43654720177. The reversal of 43654720164 is 46102745634.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (43654720163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49776894 + ... + 49777770.

It is an arithmetic number, because the mean of its divisors is an integer number (1162823200).

Almost surely, 243654720164 is an apocalyptic number.

43654720164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

43654720164 is an abundant number, since it is smaller than the sum of its proper divisors (67976307036).

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

43654720164 is a wasteful number, since it uses less digits than its factorization.

43654720164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 43654720164 in words is "forty-three billion, six hundred fifty-four million, seven hundred twenty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 439 859 877 878 1317 1718 1754 1756 2577 2631 2634 3436 3508 4829 5154 5262 5268 9449 9647 9658 10308 10524 14487 18898 19294 19316 28347 28941 28974 37796 38588 56694 57882 57948 113388 115764 377101 385003 753343 754202 770006 1131303 1155009 1506686 1508404 1540012 2260029 2262606 2310018 3013372 4148111 4235033 4520058 4525212 4620036 8286773 8296222 8470066 9040116 12444333 12705099 16573546 16592444 16940132 24860319 24888666 25410198 33147092 49720638 49777332 50820396 99441276 330717577 661435154 992152731 1322870308 1984305462 3637893347 3968610924 7275786694 10913680041 14551573388 21827360082 43654720164