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30206241520 = 2457134499241
BaseRepresentation
bin11100001000011011…
…101010101011110000
32212222010101001112221
4130020123222223300
5443330244212040
621513200330424
72116352550040
oct341033525360
985863331487
1030206241520
11118a06aa374
125a30013a14
132b050262c0
1416679b3720
15bbbcb774a
hex7086eaaf0

30206241520 has 160 divisors (see below), whose sum is σ = 86638204800. Its totient is φ = 9537454080.

The previous prime is 30206241503. The next prime is 30206241557. The reversal of 30206241520 is 2514260203.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3264100 + ... + 3273340.

It is an arithmetic number, because the mean of its divisors is an integer number (541488780).

Almost surely, 230206241520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30206241520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43319102400).

30206241520 is an abundant number, since it is smaller than the sum of its proper divisors (56431963280).

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

30206241520 is a wasteful number, since it uses less digits than its factorization.

30206241520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9723 (or 9717 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 30206241520 in words is "thirty billion, two hundred six million, two hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 449 455 520 560 728 898 910 1040 1456 1796 1820 2245 3143 3592 3640 4490 5837 6286 7184 7280 8980 9241 11674 12572 15715 17960 18482 23348 25144 29185 31430 35920 36964 40859 46205 46696 50288 58370 62860 64687 73928 81718 92410 93392 116740 120133 125720 129374 147856 163436 184820 204295 233480 240266 251440 258748 323435 326872 369640 408590 466960 480532 517496 600665 646870 653744 739280 817180 840931 961064 1034992 1201330 1293740 1634360 1681862 1922128 2402660 2587480 3268720 3363724 4149209 4204655 4805320 5174960 6727448 8298418 8409310 9610640 13454896 16596836 16818620 20746045 29044463 33193672 33637240 41492090 53939717 58088926 66387344 67274480 82984180 107879434 116177852 145222315 165968360 215758868 232355704 269698585 290444630 331936720 377578019 431517736 464711408 539397170 580889260 755156038 863035472 1078794340 1161778520 1510312076 1887890095 2157588680 2323557040 3020624152 3775780190 4315177360 6041248304 7551560380 15103120760 30206241520