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30271059680 = 2556113722639
BaseRepresentation
bin11100001100010010…
…111011011011100000
32220010122100011100112
4130030102323123200
5443443342402210
621523433510452
72121100522211
oct341422733340
986118304315
1030271059680
11119242511a4
125a49872428
132b1559c344
141672447408
15bc281cd05
hex70c4bb6e0

30271059680 has 96 divisors (see below), whose sum is σ = 73221563520. Its totient is φ = 11822469120.

The previous prime is 30271059677. The next prime is 30271059691. The reversal of 30271059680 is 8695017203.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1325801 + ... + 1348439.

It is an arithmetic number, because the mean of its divisors is an integer number (762724620).

Almost surely, 230271059680 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 30271059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36610781760).

30271059680 is an abundant number, since it is smaller than the sum of its proper divisors (42950503840).

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

30271059680 is a wasteful number, since it uses less digits than its factorization.

30271059680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22852 (or 22844 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 30271059680 in words is "thirty billion, two hundred seventy-one million, fifty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 137 160 244 274 305 488 548 610 685 976 1096 1220 1370 1952 2192 2440 2740 4384 4880 5480 8357 9760 10960 16714 21920 22639 33428 41785 45278 66856 83570 90556 113195 133712 167140 181112 226390 267424 334280 362224 452780 668560 724448 905560 1337120 1380979 1811120 2761958 3101543 3622240 5523916 6203086 6904895 11047832 12406172 13809790 15507715 22095664 24812344 27619580 31015430 44191328 49624688 55239160 62030860 99249376 110478320 124061720 189194123 220956640 248123440 378388246 496246880 756776492 945970615 1513552984 1891941230 3027105968 3783882460 6054211936 7567764920 15135529840 30271059680