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77811341040 = 243554002641
BaseRepresentation
bin100100001110111101…
…0101101011011110000
321102211210202200100000
41020131322231123300
52233324200403130
655425051030000
75423144325456
oct1103572553360
9242753680300
1077811341040
112aaaa523224
12130b6a3b300
137450874544
143aa22109d6
152056292260
hex121dead6f0

77811341040 has 120 divisors (see below), whose sum is σ = 270994873968. Its totient is φ = 20749685760.

The previous prime is 77811341021. The next prime is 77811341123. The reversal of 77811341040 is 4014311877.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 77811340986 and 77811341004.

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, 1981881 + ... + 2020760.

Almost surely, 277811341040 is an apocalyptic number.

It is an amenable number.

77811341040 is an abundant number, since it is smaller than the sum of its proper divisors (193183532928).

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

77811341040 is a wasteful number, since it uses less digits than its factorization.

77811341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002669 (or 4002651 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 77811341040 in words is "seventy-seven billion, eight hundred eleven million, three hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 4002641 8005282 12007923 16010564 20013205 24015846 32021128 36023769 40026410 48031692 60039615 64042256 72047538 80052820 96063384 108071307 120079230 144095076 160105640 180118845 192126768 216142614 240158460 288190152 320211280 324213921 360237690 432285228 480316920 540356535 576380304 648427842 720475380 864570456 960633840 972641763 1080713070 1296855684 1440950760 1621069605 1729140912 1945283526 2161426140 2593711368 2881901520 3242139210 3890567052 4322852280 4863208815 5187422736 6484278420 7781134104 8645704560 9726417630 12968556840 15562268208 19452835260 25937113680 38905670520 77811341040