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30252867568 = 24711157229683
BaseRepresentation
bin11100001011001101…
…100001111111110000
32220002101002220110121
4130023031201333300
5443424213230233
621521543540024
72120460063040
oct341315417760
986071086417
1030252867568
1111914a561a0
125a4375a614
132b1189ca91
14166dc6d720
15bc0e2792d
hex70b361ff0

30252867568 has 160 divisors (see below), whose sum is σ = 73973122560. Its totient is φ = 11643540480.

The previous prime is 30252867563. The next prime is 30252867571. The reversal of 30252867568 is 86576825203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30252867563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44293755 + ... + 44294437.

It is an arithmetic number, because the mean of its divisors is an integer number (462332016).

Almost surely, 230252867568 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 30252867568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36986561280).

30252867568 is an abundant number, since it is smaller than the sum of its proper divisors (43720254992).

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

30252867568 is a wasteful number, since it uses less digits than its factorization.

30252867568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 30252867568 in words is "thirty billion, two hundred fifty-two million, eight hundred sixty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 157 176 229 308 314 458 616 628 683 916 1099 1232 1256 1366 1603 1727 1832 2198 2512 2519 2732 3206 3454 3664 4396 4781 5038 5464 6412 6908 7513 8792 9562 10076 10928 12089 12824 13816 15026 17584 17633 19124 20152 24178 25648 27632 30052 35266 35953 38248 40304 48356 52591 60104 70532 71906 76496 96712 105182 107231 120208 141064 143812 156407 193424 210364 214462 251671 282128 287624 312814 395483 420728 428924 503342 575248 625628 750617 790966 841456 857848 1006684 1094849 1179541 1251256 1501234 1581932 1715696 1720477 2013368 2189698 2359082 2502512 2768381 3002468 3163864 3440954 4026736 4379396 4718164 5536762 6004936 6327728 6881908 8256787 8758792 9436328 11073524 12009872 12043339 13763816 16513574 17517584 18872656 22147048 24086678 24555899 27527632 33027148 44294096 48173356 49111798 66054296 96346712 98223596 132108592 171891293 192693424 196447192 270114889 343782586 392894384 540229778 687565172 1080459556 1375130344 1890804223 2160919112 2750260688 3781608446 4321838224 7563216892 15126433784 30252867568