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194659013840 = 245107139163601
BaseRepresentation
bin1011010101001010010…
…1001101010011010000
3200121110010021110212012
42311102211031103100
511142130201420330
6225231454122052
720030555213534
oct2652245152320
9617403243765
10194659013840
1175610a36255
1231886ab0328
1315482942135
1495c8a1bbc4
1550e4614c95
hex2d5294d4d0

194659013840 has 80 divisors (see below), whose sum is σ = 460101176640. Its totient is φ = 76580505600.

The previous prime is 194659013827. The next prime is 194659013851. The reversal of 194659013840 is 48310956491.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1946590138402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1108040 + ... + 1271640.

It is an arithmetic number, because the mean of its divisors is an integer number (5751264708).

Almost surely, 2194659013840 is an apocalyptic number.

194659013840 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 194659013840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230050588320).

194659013840 is an abundant number, since it is smaller than the sum of its proper divisors (265442162800).

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

194659013840 is a wasteful number, since it uses less digits than its factorization.

194659013840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163860 (or 163854 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The spelling of 194659013840 in words is "one hundred ninety-four billion, six hundred fifty-nine million, thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 139 214 278 428 535 556 695 856 1070 1112 1390 1712 2140 2224 2780 4280 5560 8560 11120 14873 29746 59492 74365 118984 148730 163601 237968 297460 327202 594920 654404 818005 1189840 1308808 1636010 2617616 3272020 6544040 13088080 17505307 22740539 35010614 45481078 70021228 87526535 90962156 113702695 140042456 175053070 181924312 227405390 280084912 350106140 363848624 454810780 700212280 909621560 1400424560 1819243120 2433237673 4866475346 9732950692 12166188365 19465901384 24332376730 38931802768 48664753460 97329506920 194659013840