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195328211040 = 25325197139189
BaseRepresentation
bin1011010111101001110…
…1111111100001100000
3200200011202111012211200
42311322131333201200
511200013010223130
6225422121241200
720053262254014
oct2657235774140
9620152435750
10195328211040
1175924756a96
1231a33033200
131555b488001
14964d858544
155133250760
hex2d7a77f860

195328211040 has 144 divisors (see below), whose sum is σ = 701639593200. Its totient is φ = 49346067456.

The previous prime is 195328211003. The next prime is 195328211053. The reversal of 195328211040 is 40112823591.

195328211040 is a `hidden beast` number, since 1 + 9 + 532 + 8 + 2 + 110 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1953282110402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 195328210986 and 195328211004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3542235 + ... + 3596954.

It is an arithmetic number, because the mean of its divisors is an integer number (4872497175).

Almost surely, 2195328211040 is an apocalyptic number.

195328211040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

195328211040 is an abundant number, since it is smaller than the sum of its proper divisors (506311382160).

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

195328211040 is a wasteful number, since it uses less digits than its factorization.

195328211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7139229 (or 7139218 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 195328211040 in words is "one hundred ninety-five billion, three hundred twenty-eight million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 7139189 14278378 21417567 28556756 35695945 42835134 57113512 64252701 71391890 85670268 107087835 114227024 128505402 135644591 142783780 171340536 214175670 228454048 257010804 271289182 285567560 321263505 342681072 406933773 428351340 514021608 542578364 571135120 642527010 678222955 685362144 813867546 856702680 1028043216 1085156728 1142270240 1220801319 1285054020 1356445910 1627735092 1713405360 2034668865 2056086432 2170313456 2441602638 2570108040 2712891820 3255470184 3426810720 4069337730 4340626912 4883205276 5140216080 5425783640 6104006595 6510940368 8138675460 9766410552 10280432160 10851567280 12208013190 13021880736 16277350920 19532821104 21703134560 24416026380 32554701840 39065642208 48832052760 65109403680 97664105520 195328211040