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11739380640 = 2535131881311
BaseRepresentation
bin10101110111011100…
…01011101110100000
31010022010201022210120
422323232023232200
5143020240140030
65220515400240
7563625042351
oct127356135640
933263638716
1011739380640
114a84635479
1223375b3080
1311511746a0
147d5179d28
1548a940010
hex2bbb8bba0

11739380640 has 96 divisors (see below), whose sum is σ = 39823612416. Its totient is φ = 2889692160.

The previous prime is 11739380623. The next prime is 11739380663. The reversal of 11739380640 is 4608393711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 11739380592 and 11739380601.

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, 934416 + ... + 946895.

It is an arithmetic number, because the mean of its divisors is an integer number (414829296).

Almost surely, 211739380640 is an apocalyptic number.

11739380640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11739380640 is an abundant number, since it is smaller than the sum of its proper divisors (28084231776).

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

11739380640 is a wasteful number, since it uses less digits than its factorization.

11739380640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881342 (or 1881334 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 11739380640 in words is "eleven billion, seven hundred thirty-nine million, three hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 1881311 3762622 5643933 7525244 9406555 11287866 15050488 18813110 22575732 24457043 28219665 30100976 37626220 45151464 48914086 56439330 60201952 73371129 75252440 90302928 97828172 112878660 122285215 146742258 150504880 180605856 195656344 225757320 244570430 293484516 301009760 366855645 391312688 451514640 489140860 586969032 733711290 782625376 903029280 978281720 1173938064 1467422580 1956563440 2347876128 2934845160 3913126880 5869690320 11739380640