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195138312840 = 23335359503297
BaseRepresentation
bin1011010110111100100…
…1100101101010001000
3200122200112011101111000
42311233021211222020
511144120402002330
6225351215135000
720045465201652
oct2655711455210
9618615141430
10195138312840
1175837543729
123199b514460
131552b029a03
1496325456d2
15512173e560
hex2d6f265a88

195138312840 has 128 divisors (see below), whose sum is σ = 652274208000. Its totient is φ = 51891830784.

The previous prime is 195138312821. The next prime is 195138312847. The reversal of 195138312840 is 48213831591.

195138312840 is a `hidden beast` number, since 1 + 9 + 513 + 8 + 3 + 128 + 4 + 0 = 666.

195138312840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1951383128402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (195138312847) 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 31 ways as a sum of consecutive naturals, for example, 136072 + ... + 639368.

It is an arithmetic number, because the mean of its divisors is an integer number (5095892250).

Almost surely, 2195138312840 is an apocalyptic number.

195138312840 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 195138312840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326137104000).

195138312840 is an abundant number, since it is smaller than the sum of its proper divisors (457135895160).

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

195138312840 is a wasteful number, since it uses less digits than its factorization.

195138312840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503676 (or 503666 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 195138312840 in words is "one hundred ninety-five billion, one hundred thirty-eight million, three hundred twelve thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 359 360 540 718 1077 1080 1436 1795 2154 2872 3231 3590 4308 5385 6462 7180 8616 9693 10770 12924 14360 16155 19386 21540 25848 32310 38772 43080 48465 64620 77544 96930 129240 193860 387720 503297 1006594 1509891 2013188 2516485 3019782 4026376 4529673 5032970 6039564 7549455 9059346 10065940 12079128 13589019 15098910 18118692 20131880 22648365 27178038 30197820 36237384 45296730 54356076 60395640 67945095 90593460 108712152 135890190 180683623 181186920 271780380 361367246 542050869 543560760 722734492 903418115 1084101738 1445468984 1626152607 1806836230 2168203476 2710254345 3252305214 3613672460 4336406952 4878457821 5420508690 6504610428 7227344920 8130763035 9756915642 10841017380 13009220856 16261526070 19513831284 21682034760 24392289105 32523052140 39027662568 48784578210 65046104280 97569156420 195138312840