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30800751768 = 2333414773999
BaseRepresentation
bin11100101011110111…
…100010110010011000
32221111120001022022000
4130223313202302120
51001034443024033
622052155001000
72140162033053
oct345367426230
987446038260
1030800751768
1112076248756
125b77139160
132b9b24c207
1416c292ba9a
15c0409da13
hex72bde2c98

30800751768 has 128 divisors (see below), whose sum is σ = 89510400000. Its totient is φ = 9803255040.

The previous prime is 30800751763. The next prime is 30800751803. The reversal of 30800751768 is 86715700803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30800751763) 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, 379233 + ... + 453231.

It is an arithmetic number, because the mean of its divisors is an integer number (699300000).

Almost surely, 230800751768 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 30800751768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44755200000).

30800751768 is an abundant number, since it is smaller than the sum of its proper divisors (58709648232).

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

30800751768 is a wasteful number, since it uses less digits than its factorization.

30800751768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74102 (or 74092 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 30800751768 in words is "thirty billion, eight hundred million, seven hundred fifty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 47 54 72 82 94 108 123 141 164 188 216 246 282 328 369 376 423 492 564 738 846 984 1107 1128 1269 1476 1692 1927 2214 2538 2952 3384 3854 4428 5076 5781 7708 8856 10152 11562 15416 17343 23124 34686 46248 52029 69372 73999 104058 138744 147998 208116 221997 295996 416232 443994 591992 665991 887988 1331982 1775976 1997973 2663964 3033959 3477953 3995946 5327928 6067918 6955906 7991892 9101877 10433859 12135836 13911812 15983784 18203754 20867718 24271672 27305631 27823624 31301577 36407508 41735436 54611262 62603154 72815016 81916893 83470872 93904731 109222524 125206308 142596073 163833786 187809462 218445048 250412616 285192146 327667572 375618924 427788219 570384292 655335144 751237848 855576438 1140768584 1283364657 1711152876 2566729314 3422305752 3850093971 5133458628 7700187942 10266917256 15400375884 30800751768