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30755140560 = 2433521167481
BaseRepresentation
bin11100101001001001…
…100011001111010000
32221101101020000111000
4130221021203033100
51000441303444220
622043445222000
72136066244554
oct345111431720
987341200430
1030755140560
1112052525341
125b63a01900
132b9196c631
1416ba857864
15c0008e390
hex7292633d0

30755140560 has 160 divisors (see below), whose sum is σ = 106438008960. Its totient is φ = 8162380800.

The previous prime is 30755140513. The next prime is 30755140573. The reversal of 30755140560 is 6504155703.

30755140560 is a `hidden beast` number, since 3 + 0 + 7 + 5 + 51 + 40 + 560 = 666.

It is a super-2 number, since 2×307551405602 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422020 + ... + 489500.

It is an arithmetic number, because the mean of its divisors is an integer number (665237556).

Almost surely, 230755140560 is an apocalyptic number.

30755140560 is a gapful number since it is divisible by the number (30) 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 30755140560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53219004480).

30755140560 is an abundant number, since it is smaller than the sum of its proper divisors (75682868400).

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

30755140560 is a wasteful number, since it uses less digits than its factorization.

30755140560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67714 (or 67702 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 30755140560 in words is "thirty billion, seven hundred fifty-five million, one hundred forty thousand, five hundred sixty".

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 90 108 120 135 144 180 211 216 240 270 360 422 432 540 633 720 844 1055 1080 1266 1688 1899 2110 2160 2532 3165 3376 3798 4220 5064 5697 6330 7596 8440 9495 10128 11394 12660 15192 16880 18990 22788 25320 28485 30384 37980 45576 50640 56970 67481 75960 91152 113940 134962 151920 202443 227880 269924 337405 404886 455760 539848 607329 674810 809772 1012215 1079696 1214658 1349620 1619544 1821987 2024430 2429316 2699240 3036645 3239088 3643974 4048860 4858632 5398480 6073290 7287948 8097720 9109935 9717264 12146580 14238491 14575896 16195440 18219870 24293160 28476982 29151792 36439740 42715473 48586320 56953964 71192455 72879480 85430946 113907928 128146419 142384910 145758960 170861892 213577365 227815856 256292838 284769820 341723784 384439257 427154730 512585676 569539640 640732095 683447568 768878514 854309460 1025171352 1139079280 1281464190 1537757028 1708618920 1922196285 2050342704 2562928380 3075514056 3417237840 3844392570 5125856760 6151028112 7688785140 10251713520 15377570280 30755140560