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30306153984 = 293194092539
BaseRepresentation
bin11100001110011000…
…110011011000000000
32220020002101010200120
4130032120303120000
5444031333411414
621531130020240
72122005026031
oct341630633000
986202333616
1030306153984
1111942041057
125a59577680
132b1c938cc2
141676d80a88
15bc59512a9
hex70e633600

30306153984 has 160 divisors (see below), whose sum is σ = 85228176000. Its totient is φ = 9543204864.

The previous prime is 30306153979. The next prime is 30306154009. The reversal of 30306153984 is 48935160303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11934987 + ... + 11937525.

It is an arithmetic number, because the mean of its divisors is an integer number (532676100).

Almost surely, 230306153984 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 30306153984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42614088000).

30306153984 is an abundant number, since it is smaller than the sum of its proper divisors (54922022016).

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

30306153984 is a wasteful number, since it uses less digits than its factorization.

30306153984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 30306153984 in words is "thirty billion, three hundred six million, one hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 409 456 512 608 768 818 912 1216 1227 1536 1636 1824 2432 2454 2539 3272 3648 4864 4908 5078 6544 7296 7617 7771 9728 9816 10156 13088 14592 15234 15542 19632 20312 23313 26176 29184 30468 31084 39264 40624 46626 48241 52352 60936 62168 78528 81248 93252 96482 104704 121872 124336 144723 157056 162496 186504 192964 209408 243744 248672 289446 314112 324992 373008 385928 487488 497344 578892 628224 649984 746016 771856 974976 994688 1038451 1157784 1299968 1492032 1543712 1949952 1989376 2076902 2315568 2984064 3087424 3115353 3899904 3978752 4153804 4631136 5968128 6174848 6230706 8307608 9262272 11936256 12349696 12461412 16615216 18524544 19730569 24699392 24922824 33230432 37049088 39461138 49845648 59191707 66460864 74098176 78922276 99691296 118383414 132921728 157844552 199382592 236766828 265843456 315689104 398765184 473533656 531686912 631378208 797530368 947067312 1262756416 1595060736 1894134624 2525512832 3788269248 5051025664 7576538496 10102051328 15153076992 30306153984