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30116454732 = 223271337248461
BaseRepresentation
bin11100000011000101…
…001010000101001100
32212201212102102020100
4130003011022011030
5443134303022412
621500232051100
72114212433010
oct340305120514
985655372210
1030116454732
1111854a54211
125a05b33a90
132abc54a420
141659ac0540
15bb3e7dedc
hex70314a14c

30116454732 has 144 divisors (see below), whose sum is σ = 96228338752. Its totient is φ = 7728099840.

The previous prime is 30116454727. The next prime is 30116454733. The reversal of 30116454732 is 23745461103.

30116454732 is a `hidden beast` number, since 3 + 0 + 1 + 1 + 645 + 4 + 7 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (30116454733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3019 + ... + 245442.

Almost surely, 230116454732 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 30116454732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48114169376).

30116454732 is an abundant number, since it is smaller than the sum of its proper divisors (66111884020).

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

30116454732 is a wasteful number, since it uses less digits than its factorization.

30116454732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248528 (or 248523 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 30116454732 in words is "thirty billion, one hundred sixteen million, four hundred fifty-four thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 37 39 42 52 63 74 78 84 91 111 117 126 148 156 182 222 234 252 259 273 333 364 444 468 481 518 546 666 777 819 962 1036 1092 1332 1443 1554 1638 1924 2331 2886 3108 3276 3367 4329 4662 5772 6734 8658 9324 10101 13468 17316 20202 30303 40404 60606 121212 248461 496922 745383 993844 1490766 1739227 2236149 2981532 3229993 3478454 4472298 5217681 6459986 6956908 8944596 9193057 9689979 10435362 12919972 15653043 18386114 19379958 20870724 22609951 27579171 29069937 31306086 36772228 38759916 45219902 55158342 58139874 62612172 64351399 67829853 82737513 90439804 110316684 116279748 119509741 128702798 135659706 165475026 193054197 203489559 239019482 257405596 271319412 330950052 358529223 386108394 406979118 478038964 579162591 717058446 772216788 813958236 836568187 1075587669 1158325182 1434116892 1673136374 2151175338 2316650364 2509704561 3346272748 4302350676 5019409122 7529113683 10038818244 15058227366 30116454732