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194039724640 = 25553109209927
BaseRepresentation
bin1011010010110110101…
…0110011101001100000
3200112211221222022210011
42310231222303221200
511134343132142030
6225050212414304
720006325305626
oct2645552635140
9615757868704
10194039724640
11753234030a3
1231733617394
13153b4551818
14956a693516
1550aa086b2a
hex2d2dab3a60

194039724640 has 96 divisors (see below), whose sum is σ = 471355536960. Its totient is φ = 75452442624.

The previous prime is 194039724589. The next prime is 194039724661. The reversal of 194039724640 is 46427930491.

194039724640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 819357 + ... + 1029283.

It is an arithmetic number, because the mean of its divisors is an integer number (4909953510).

Almost surely, 2194039724640 is an apocalyptic number.

194039724640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194039724640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235677768480).

194039724640 is an abundant number, since it is smaller than the sum of its proper divisors (277315812320).

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

194039724640 is a wasteful number, since it uses less digits than its factorization.

194039724640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210104 (or 210096 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The spelling of 194039724640 in words is "one hundred ninety-four billion, thirty-nine million, seven hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 109 160 212 218 265 424 436 530 545 848 872 1060 1090 1696 1744 2120 2180 3488 4240 4360 5777 8480 8720 11554 17440 23108 28885 46216 57770 92432 115540 184864 209927 231080 419854 462160 839708 924320 1049635 1679416 2099270 3358832 4198540 6717664 8397080 11126131 16794160 22252262 22882043 33588320 44504524 45764086 55630655 89009048 91528172 111261310 114410215 178018096 183056344 222522620 228820430 356036192 366112688 445045240 457640860 732225376 890090480 915281720 1212748279 1780180960 1830563440 2425496558 3661126880 4850993116 6063741395 9701986232 12127482790 19403972464 24254965580 38807944928 48509931160 97019862320 194039724640