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30839544528 = 2431328274597
BaseRepresentation
bin11100101110001011…
…100001101011010000
32221121021001011221220
4130232023201223100
51001124410411103
622100102245040
72141142542352
oct345613415320
987537034856
1030839544528
1112096134291
125b88126780
132ba62b2400
1416c7b490d2
15c076b2c53
hex72e2e1ad0

30839544528 has 120 divisors (see below), whose sum is σ = 86391711648. Its totient is φ = 9475554816.

The previous prime is 30839544523. The next prime is 30839544529. The reversal of 30839544528 is 82544593803.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30839544521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6706326 + ... + 6710922.

Almost surely, 230839544528 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 30839544528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43195855824).

30839544528 is an abundant number, since it is smaller than the sum of its proper divisors (55552167120).

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

30839544528 is a wasteful number, since it uses less digits than its factorization.

30839544528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 30839544528 in words is "thirty billion, eight hundred thirty-nine million, five hundred forty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 827 1014 1352 1654 2028 2481 2704 3308 4056 4597 4962 6616 8112 9194 9924 10751 13232 13791 18388 19848 21502 27582 32253 36776 39696 43004 55164 59761 64506 73552 86008 110328 119522 129012 139763 172016 179283 220656 239044 258024 279526 358566 419289 478088 516048 559052 717132 776893 838578 956176 1118104 1434264 1553786 1677156 2236208 2330679 2868528 3107572 3354312 3801719 4661358 6215144 6708624 7603438 9322716 11405157 12430288 15206876 18645432 22810314 30413752 37290864 45620628 49422347 60827504 91241256 98844694 148267041 182482512 197689388 296534082 395378776 593068164 642490511 790757552 1186136328 1284981022 1927471533 2372272656 2569962044 3854943066 5139924088 7709886132 10279848176 15419772264 30839544528