Search a number
-
+
30288074752 = 211131766919
BaseRepresentation
bin11100001101010011…
…110101100000000000
32220011211100121122101
4130031103311200000
5444012221343002
621525242320144
72121365246635
oct341523654000
986154317571
1030288074752
1111932912941
125a534b9054
132b18c78c30
1416747d618c
15bc407e587
hex70d4f5800

30288074752 has 96 divisors (see below), whose sum is σ = 69057424800. Its totient is φ = 13156614144.

The previous prime is 30288074711. The next prime is 30288074753. The reversal of 30288074752 is 25747088203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30288074753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419149 + ... + 486067.

It is an arithmetic number, because the mean of its divisors is an integer number (719348175).

Almost surely, 230288074752 is an apocalyptic number.

30288074752 is a gapful number since it is divisible by the number (32) 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 30288074752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34528712400).

30288074752 is an abundant number, since it is smaller than the sum of its proper divisors (38769350048).

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

30288074752 is a wasteful number, since it uses less digits than its factorization.

30288074752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66971 (or 66951 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 30288074752 in words is "thirty billion, two hundred eighty-eight million, seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 512 544 832 884 1024 1088 1664 1768 2048 2176 3328 3536 4352 6656 7072 8704 13312 14144 17408 26624 28288 34816 56576 66919 113152 133838 226304 267676 452608 535352 869947 1070704 1137623 1739894 2141408 2275246 3479788 4282816 4550492 6959576 8565632 9100984 13919152 14789099 17131264 18201968 27838304 29578198 34262528 36403936 55676608 59156396 68525056 72807872 111353216 118312792 137050112 145615744 222706432 236625584 291231488 445412864 473251168 582462976 890825728 946502336 1164925952 1781651456 1893004672 2329851904 3786009344 7572018688 15144037376 30288074752