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1149872064 = 263114431229
BaseRepresentation
bin100010010001001…
…1010011111000000
32222010200112221020
41010202122133000
54323331401224
6310033425440
740331515455
oct10442323700
92863615836
101149872064
115400889a0
1228110b280
131542c2a93
14aca0182c
156ae37c79
hex4489a7c0

1149872064 has 112 divisors (see below), whose sum is σ = 3329147520. Its totient is φ = 347376640.

The previous prime is 1149872041. The next prime is 1149872083. The reversal of 1149872064 is 4602789411.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935002 + ... + 936230.

Almost surely, 21149872064 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 1149872064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664573760).

1149872064 is an abundant number, since it is smaller than the sum of its proper divisors (2179275456).

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

1149872064 is a wasteful number, since it uses less digits than its factorization.

1149872064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1149872064 is about 33909.7635497507. The cubic root of 1149872064 is about 1047.6507003654.

The spelling of 1149872064 in words is "one billion, one hundred forty-nine million, eight hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 443 528 704 886 1056 1229 1329 1772 2112 2458 2658 3544 3687 4873 4916 5316 7088 7374 9746 9832 10632 13519 14176 14619 14748 19492 19664 21264 27038 28352 29238 29496 38984 39328 40557 42528 54076 58476 58992 77968 78656 81114 85056 108152 116952 117984 155936 162228 216304 233904 235968 311872 324456 432608 467808 544447 648912 865216 935616 1088894 1297824 1633341 2177788 2595648 3266682 4355576 5988917 6533364 8711152 11977834 13066728 17422304 17966751 23955668 26133456 34844608 35933502 47911336 52266912 71867004 95822672 104533824 143734008 191645344 287468016 383290688 574936032 1149872064