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30787125840 = 2433518477717
BaseRepresentation
bin11100101011000011…
…100100001001010000
32221110121102001001000
4130223003210021100
51001023001011330
622050550542000
72136635152242
oct345303441120
987417361030
1030787125840
1112069591359
125b72667900
132b9848b133
1416c0bc2092
15c02cab560
hex72b0e4250

30787125840 has 160 divisors (see below), whose sum is σ = 106115708160. Its totient is φ = 8204391936.

The previous prime is 30787125829. The next prime is 30787125881. The reversal of 30787125840 is 4852178703.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3985662 + ... + 3993378.

It is an arithmetic number, because the mean of its divisors is an integer number (663223176).

Almost surely, 230787125840 is an apocalyptic number.

30787125840 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 30787125840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53057854080).

30787125840 is an abundant number, since it is smaller than the sum of its proper divisors (75328582320).

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

30787125840 is a wasteful number, since it uses less digits than its factorization.

30787125840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9586 (or 9574 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 30787125840 in words is "thirty billion, seven hundred eighty-seven million, one hundred twenty-five thousand, eight hundred 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 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1847 2160 3694 5541 7388 7717 9235 11082 14776 15434 16623 18470 22164 23151 27705 29552 30868 33246 36940 38585 44328 46302 49869 55410 61736 66492 69453 73880 77170 83115 88656 92604 99738 110820 115755 123472 132984 138906 147760 154340 166230 185208 199476 208359 221640 231510 249345 265968 277812 308680 332460 347265 370416 398952 416718 443280 463020 498690 555624 617360 664920 694530 797904 833436 926040 997380 1041795 1111248 1329840 1389060 1666872 1852080 1994760 2083590 2778120 3333744 3989520 4167180 5556240 8334360 14253299 16668720 28506598 42759897 57013196 71266495 85519794 114026392 128279691 142532990 171039588 213799485 228052784 256559382 285065980 342079176 384839073 427598970 513118764 570131960 641398455 684158352 769678146 855197940 1026237528 1140263920 1282796910 1539356292 1710395880 1924195365 2052475056 2565593820 3078712584 3420791760 3848390730 5131187640 6157425168 7696781460 10262375280 15393562920 30787125840