Search a number
-
+
2874682368 = 210321916417
BaseRepresentation
bin1010101101011000…
…0010110000000000
321102100012222212100
42223112002300000
521341404313433
61153130230400
7131144253105
oct25326026000
97370188770
102874682368
111245757458
12682885400
1336a7480ac
141d3b04aac
1511c58cb13
hexab582c00

2874682368 has 132 divisors (see below), whose sum is σ = 8737987960. Its totient is φ = 907739136.

The previous prime is 2874682367. The next prime is 2874682379. The reversal of 2874682368 is 8632864782.

It is not an unprimeable number, because it can be changed into a prime (2874682361) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 166896 + ... + 183312.

Almost surely, 22874682368 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 2874682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368993980).

2874682368 is an abundant number, since it is smaller than the sum of its proper divisors (5863305592).

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

2874682368 is a wasteful number, since it uses less digits than its factorization.

2874682368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16462 (or 16441 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 2874682368 is about 53616.0644583319. The cubic root of 2874682368 is about 1421.8811225968.

The spelling of 2874682368 in words is "two billion, eight hundred seventy-four million, six hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2304 2432 2736 3072 3648 4608 4864 5472 7296 9216 9728 10944 14592 16417 19456 21888 29184 32834 43776 49251 58368 65668 87552 98502 131336 147753 175104 197004 262672 295506 311923 394008 525344 591012 623846 788016 935769 1050688 1182024 1247692 1576032 1871538 2101376 2364048 2495384 2807307 3152064 3743076 4202752 4728096 4990768 5614614 6304128 7486152 8405504 9456192 9981536 11229228 12608256 14972304 16811008 18912384 19963072 22458456 25216512 29944608 37824768 39926144 44916912 50433024 59889216 75649536 79852288 89833824 119778432 151299072 159704576 179667648 239556864 319409152 359335296 479113728 718670592 958227456 1437341184 2874682368