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30713304816 = 2433467152239
BaseRepresentation
bin11100100110101001…
…111101011011110000
32221021110111112122000
4130212221331123300
51000400101223231
622035352414000
72135050532505
oct344651753360
987243445560
1030713304816
1112030950547
125b519a7300
132b860b235c
1416b50874ac
15beb5786e6
hex726a7d6f0

30713304816 has 80 divisors (see below), whose sum is σ = 88347916800. Its totient is φ = 10215778752.

The previous prime is 30713304767. The next prime is 30713304821. The reversal of 30713304816 is 61840331703.

30713304816 is a `hidden beast` number, since 307 + 1 + 330 + 4 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 125625 + ... + 277863.

It is an arithmetic number, because the mean of its divisors is an integer number (1104348960).

Almost surely, 230713304816 is an apocalyptic number.

30713304816 is a gapful number since it is divisible by the number (36) 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 30713304816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44173958400).

30713304816 is an abundant number, since it is smaller than the sum of its proper divisors (57634611984).

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

30713304816 is a wasteful number, since it uses less digits than its factorization.

30713304816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152723 (or 152711 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 30713304816 in words is "thirty billion, seven hundred thirteen million, three hundred four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 467 934 1401 1868 2802 3736 4203 5604 7472 8406 11208 12609 16812 22416 25218 33624 50436 67248 100872 152239 201744 304478 456717 608956 913434 1217912 1370151 1826868 2435824 2740302 3653736 4110453 5480604 7307472 8220906 10961208 16441812 21922416 32883624 65767248 71095613 142191226 213286839 284382452 426573678 568764904 639860517 853147356 1137529808 1279721034 1706294712 1919581551 2559442068 3412589424 3839163102 5118884136 7678326204 10237768272 15356652408 30713304816