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30252724824 = 23377312232017
BaseRepresentation
bin11100001011001100…
…111111001001011000
32220002100211122122210
4130023030333021120
5443424144143244
621521540515120
72120455626630
oct341314771130
986070748583
1030252724824
1111914968a23
125a436abaa0
132b1184cb0a
14166dc336c0
15bc0dea4b9
hex70b33f258

30252724824 has 128 divisors (see below), whose sum is σ = 87735536640. Its totient is φ = 8514035712.

The previous prime is 30252724823. The next prime is 30252724871. The reversal of 30252724824 is 42842725203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30252724823) 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, 14997864 + ... + 14999880.

It is an arithmetic number, because the mean of its divisors is an integer number (685433880).

Almost surely, 230252724824 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 30252724824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43867768320).

30252724824 is an abundant number, since it is smaller than the sum of its proper divisors (57482811816).

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

30252724824 is a wasteful number, since it uses less digits than its factorization.

30252724824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3329 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The spelling of 30252724824 in words is "thirty billion, two hundred fifty-two million, seven hundred twenty-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1223 1533 1752 2017 2044 2446 3066 3669 4034 4088 4892 6051 6132 7338 8068 8561 9784 12102 12264 14119 14676 16136 17122 24204 25683 28238 29352 34244 42357 48408 51366 56476 68488 84714 89279 102732 112952 147241 169428 178558 205464 267837 294482 338856 357116 441723 535674 588964 624953 714232 883446 1030687 1071348 1177928 1249906 1766892 1874859 2061374 2142696 2466791 2499812 3092061 3533784 3749718 4122748 4933582 4999624 6184122 7400373 7499436 8245496 9867164 12368244 14800746 14998872 17267537 19734328 24736488 29601492 34535074 51802611 59202984 69070148 103605222 138140296 180075743 207210444 360151486 414420888 540227229 720302972 1080454458 1260530201 1440605944 2160908916 2521060402 3781590603 4321817832 5042120804 7563181206 10084241608 15126362412 30252724824