Search a number
-
+
2531298816 = 2933712579
BaseRepresentation
bin1001011011100000…
…1000111000000000
320112102002022012000
42112320020320000
520141003030231
61055102304000
7116504453634
oct22670107000
96472068160
102531298816
1110899412a2
125a7888000
1331456a667
141a027adc4
15ec35e6e6
hex96e08e00

2531298816 has 160 divisors (see below), whose sum is σ = 7601299200. Its totient is φ = 831559680.

The previous prime is 2531298701. The next prime is 2531298823. The reversal of 2531298816 is 6188921352.

2531298816 is a `hidden beast` number, since 2 + 531 + 29 + 88 + 16 = 666.

It is a congruent number.

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, 980215 + ... + 982793.

It is an arithmetic number, because the mean of its divisors is an integer number (47508120).

Almost surely, 22531298816 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 2531298816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800649600).

2531298816 is an abundant number, since it is smaller than the sum of its proper divisors (5070000384).

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

2531298816 is an equidigital number, since it uses as much as digits as its factorization.

2531298816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2655 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 2531298816 is about 50312.0146287147. The cubic root of 2531298816 is about 1362.8492055119.

The spelling of 2531298816 in words is "two billion, five hundred thirty-one million, two hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 128 142 144 192 213 216 256 284 288 384 426 432 512 568 576 639 768 852 864 1136 1152 1278 1536 1704 1728 1917 2272 2304 2556 2579 3408 3456 3834 4544 4608 5112 5158 6816 6912 7668 7737 9088 10224 10316 13632 13824 15336 15474 18176 20448 20632 23211 27264 30672 30948 36352 40896 41264 46422 54528 61344 61896 69633 81792 82528 92844 109056 122688 123792 139266 163584 165056 183109 185688 245376 247584 278532 327168 330112 366218 371376 490752 495168 549327 557064 660224 732436 742752 981504 990336 1098654 1114128 1320448 1464872 1485504 1647981 1980672 2197308 2228256 2929744 2971008 3295962 3961344 4394616 4456512 4943943 5859488 5942016 6591924 8789232 8913024 9887886 11718976 11884032 13183848 17578464 17826048 19775772 23437952 26367696 35156928 35652096 39551544 46875904 52735392 70313856 79103088 93751808 105470784 140627712 158206176 210941568 281255424 316412352 421883136 632824704 843766272 1265649408 2531298816