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2721268128 = 253297912373
BaseRepresentation
bin1010001000110011…
…0100000110100000
321000122112202002110
42202030310012200
521033121040003
61130010115320
7124302253215
oct24214640640
97018482073
102721268128
1111770a3027
1263b41bb40
13344a22137
141bb5abb0c
1510dd86a03
hexa23341a0

2721268128 has 96 divisors (see below), whose sum is σ = 7483795200. Its totient is φ = 864654336.

The previous prime is 2721268079. The next prime is 2721268153. The reversal of 2721268128 is 8218621272.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213750 + ... + 226122.

It is an arithmetic number, because the mean of its divisors is an integer number (77956200).

Almost surely, 22721268128 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 2721268128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741897600).

2721268128 is an abundant number, since it is smaller than the sum of its proper divisors (4762527072).

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

2721268128 is a wasteful number, since it uses less digits than its factorization.

2721268128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12494 (or 12486 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 2721268128 is about 52165.7754471263. The cubic root of 2721268128 is about 1396.1233104814.

The spelling of 2721268128 in words is "two billion, seven hundred twenty-one million, two hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 79 87 96 116 158 174 232 237 316 348 464 474 632 696 928 948 1264 1392 1896 2291 2528 2784 3792 4582 6873 7584 9164 12373 13746 18328 24746 27492 36656 37119 49492 54984 73312 74238 98984 109968 148476 197968 219936 296952 358817 395936 593904 717634 977467 1076451 1187808 1435268 1954934 2152902 2870536 2932401 3909868 4305804 5741072 5864802 7819736 8611608 11482144 11729604 15639472 17223216 23459208 28346543 31278944 34446432 46918416 56693086 85039629 93836832 113386172 170079258 226772344 340158516 453544688 680317032 907089376 1360634064 2721268128