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135798289740 = 2232519712892971
BaseRepresentation
bin111111001111000110…
…1010111010101001100
3110222112000102212211200
41332132031113111030
54211103330232430
6142215044345500
712545131263111
oct1763615272514
9428460385750
10135798289740
115265665a023
122239a6a5290
13ca622379c9
1468035ac908
1537ebe05460
hex1f9e35754c

135798289740 has 144 divisors (see below), whose sum is σ = 414473099040. Its totient is φ = 35988986880.

The previous prime is 135798289729. The next prime is 135798289777. The reversal of 135798289740 is 47982897531.

135798289740 is a `hidden beast` number, since 13 + 579 + 8 + 2 + 8 + 9 + 7 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45706455 + ... + 45709425.

It is an arithmetic number, because the mean of its divisors is an integer number (2878285410).

Almost surely, 2135798289740 is an apocalyptic number.

135798289740 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 135798289740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207236549520).

135798289740 is an abundant number, since it is smaller than the sum of its proper divisors (278674809300).

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

135798289740 is a wasteful number, since it uses less digits than its factorization.

135798289740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 135798289740 in words is "one hundred thirty-five billion, seven hundred ninety-eight million, two hundred eighty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 788 985 1182 1289 1773 1970 2364 2578 2955 2971 3546 3867 3940 5156 5910 5942 6445 7092 7734 8865 8913 11601 11820 11884 12890 14855 15468 17730 17826 19335 23202 25780 26739 29710 35460 35652 38670 44565 46404 53478 58005 59420 77340 89130 106956 116010 133695 178260 232020 253933 267390 507866 534780 585287 761799 1015732 1170574 1269665 1523598 1755861 2285397 2341148 2539330 2926435 3047196 3511722 3808995 3829619 4570794 5078660 5267583 5852870 7023444 7617990 7659238 8779305 9141588 10535166 11426985 11488857 11705740 15235980 15318476 17558610 19148095 21070332 22853970 22977714 26337915 34466571 35117220 38296190 45707940 45955428 52675830 57444285 68933142 76592380 105351660 114888570 137866284 172332855 229777140 344665710 689331420 754434943 1508869886 2263304829 3017739772 3772174715 4526609658 6789914487 7544349430 9053219316 11316524145 13579828974 15088698860 22633048290 27159657948 33949572435 45266096580 67899144870 135798289740