Search a number
-
+
46605732720 = 2435194190553
BaseRepresentation
bin101011011001111010…
…110000101101110000
311110022000220112020220
4223121322300231300
51230422031421340
633224350333040
73236635122531
oct533172605560
9143260815226
1046605732720
11188467a2888
1290481ba180
1345197a3351
142381a16688
15132b8c0ed0
hexad9eb0b70

46605732720 has 40 divisors (see below), whose sum is σ = 144477772176. Its totient is φ = 12428195328.

The previous prime is 46605732683. The next prime is 46605732721. The reversal of 46605732720 is 2723750664.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46605732721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97095037 + ... + 97095516.

Almost surely, 246605732720 is an apocalyptic number.

46605732720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46605732720 is an abundant number, since it is smaller than the sum of its proper divisors (97872039456).

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

46605732720 is a wasteful number, since it uses less digits than its factorization.

46605732720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194190569 (or 194190563 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 46605732720 in words is "forty-six billion, six hundred five million, seven hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 194190553 388381106 582571659 776762212 970952765 1165143318 1553524424 1941905530 2330286636 2912858295 3107048848 3883811060 4660573272 5825716590 7767622120 9321146544 11651433180 15535244240 23302866360 46605732720