Search a number
-
+
30561216425420 = 22517971307708997
BaseRepresentation
bin1101111001011100101100…
…11100101110110111001100
311000012121211201102002110012
412330232112130232313030
513001203332401103140
6144555343510532352
76302655301322222
oct674562634566714
9130177751362405
1030561216425420
119812a36a40a7a
123516b756670b8
131408bab03ca55
1477925682ab12
1537ee79d42265
hex1bcb9672edcc

30561216425420 has 96 divisors (see below), whose sum is σ = 68706942921792. Its totient is φ = 11378058559488.

The previous prime is 30561216425417. The next prime is 30561216425423. The reversal of 30561216425420 is 2452461216503.

It is an interprime number because it is at equal distance from previous prime (30561216425417) and next prime (30561216425423).

It is a super-2 number, since 2×305612164254202 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30561216425423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42750362 + ... + 43459358.

It is an arithmetic number, because the mean of its divisors is an integer number (715697322102).

Almost surely, 230561216425420 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 30561216425420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34353471460896).

30561216425420 is an abundant number, since it is smaller than the sum of its proper divisors (38145726496372).

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

30561216425420 is a wasteful number, since it uses less digits than its factorization.

30561216425420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710427 (or 710425 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 30561216425420 in words is "thirty trillion, five hundred sixty-one billion, two hundred sixteen million, four hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 970 1307 1649 1940 2614 3298 5228 6535 6596 8245 13070 16490 22219 26140 32980 44438 88876 111095 126779 222190 253558 444380 507116 633895 708997 1267790 1417994 2155243 2535580 2835988 3544985 4310486 7089970 8620972 10776215 12052949 14179940 21552430 24105898 43104860 48211796 60264745 68772709 120529490 137545418 241058980 275090836 343863545 687727090 926659079 1169136053 1375454180 1853318158 2338272106 3706636316 4633295395 4676544212 5845680265 9266590790 11691360530 15753204343 18533181580 23382721060 31506408686 63012817372 78766021715 89885930663 157532043430 179771861326 315064086860 359543722652 449429653315 898859306630 1528060821271 1797718613260 3056121642542 6112243285084 7640304106355 15280608212710 30561216425420