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195556828040 = 23576197711719
BaseRepresentation
bin1011011000100000011…
…0000110001110001000
3200200202200200011101222
42312020012012032020
511201000021444130
6225500525301212
720062036416620
oct2661006061610
9620680604358
10195556828040
1175a31805362
1231a97704808
1315596951942
149671d69880
15514835dce5
hex2d88186388

195556828040 has 128 divisors (see below), whose sum is σ = 511670822400. Its totient is φ = 65875783680.

The previous prime is 195556828039. The next prime is 195556828067. The reversal of 195556828040 is 40828655591.

It is a super-2 number, since 2×1955568280402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16681301 + ... + 16693019.

It is an arithmetic number, because the mean of its divisors is an integer number (3997428300).

Almost surely, 2195556828040 is an apocalyptic number.

195556828040 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 195556828040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255835411200).

195556828040 is an abundant number, since it is smaller than the sum of its proper divisors (316113994360).

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

195556828040 is a wasteful number, since it uses less digits than its factorization.

195556828040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12775 (or 12771 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 53.

The spelling of 195556828040 in words is "one hundred ninety-five billion, five hundred fifty-six million, eight hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 977 1220 1708 1954 2135 2440 3416 3908 4270 4885 6839 7816 8540 9770 11719 13678 17080 19540 23438 27356 34195 39080 46876 54712 58595 59597 68390 82033 93752 117190 119194 136780 164066 234380 238388 273560 297985 328132 410165 417179 468760 476776 595970 656264 714859 820330 834358 1191940 1429718 1640660 1668716 2085895 2383880 2859436 3281320 3337432 3574295 4171790 5004013 5718872 7148590 8343580 10008026 11449463 14297180 16687160 20016052 22898926 25020065 28594360 40032104 45797852 50040130 57247315 80146241 91595704 100080260 114494630 160292482 200160520 228989260 320584964 400731205 457978520 641169928 698417243 801462410 1396834486 1602924820 2793668972 3205849640 3492086215 4888920701 5587337944 6984172430 9777841402 13968344860 19555682804 24444603505 27936689720 39111365608 48889207010 97778414020 195556828040