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135930262720 = 2657244724799
BaseRepresentation
bin111111010011000010…
…0110011010011000000
3110222212012202210201211
41332212010303103000
54211341121401340
6142240121135504
712551323112020
oct1764604632300
9428765683654
10135930262720
11527140a92aa
122241692a594
13ca83694525
146816d23a80
1538087c35ea
hex1fa61334c0

135930262720 has 112 divisors (see below), whose sum is σ = 370090598400. Its totient is φ = 46583737344.

The previous prime is 135930262717. The next prime is 135930262739. The reversal of 135930262720 is 27262039531.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5468881 + ... + 5493679.

Almost surely, 2135930262720 is an apocalyptic number.

135930262720 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 135930262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185045299200).

135930262720 is an abundant number, since it is smaller than the sum of its proper divisors (234160335680).

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

135930262720 is a wasteful number, since it uses less digits than its factorization.

135930262720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27270 (or 27260 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 135930262720 in words is "one hundred thirty-five billion, nine hundred thirty million, two hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 2447 4894 9788 12235 17129 19576 24470 24799 34258 39152 48940 49598 68516 78304 85645 97880 99196 123995 137032 156608 171290 173593 195760 198392 247990 274064 342580 347186 391520 396784 495980 548128 685160 694372 783040 793568 867965 991960 1096256 1370320 1388744 1587136 1735930 1983920 2740640 2777488 3471860 3967840 5481280 5554976 6943720 7935680 11109952 13887440 27774880 55549760 60683153 121366306 242732612 303415765 424782071 485465224 606831530 849564142 970930448 1213663060 1699128284 1941860896 2123910355 2427326120 3398256568 3883721792 4247820710 4854652240 6796513136 8495641420 9709304480 13593026272 16991282840 19418608960 27186052544 33982565680 67965131360 135930262720