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5413387776 = 29329532293
BaseRepresentation
bin1010000101010100…
…11011111000000000
3111222021020120222120
411002222123320000
542041311402101
62253055404240
7251102015436
oct50252337000
914867216876
105413387776
1123287973a5
121070b23680
136836a9a44
14394d4cd56
1521a3b1b36
hex142a9be00

5413387776 has 160 divisors (see below), whose sum is σ = 15207017760. Its totient is φ = 1708621824.

The previous prime is 5413387751. The next prime is 5413387783. The reversal of 5413387776 is 6777833145.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2359686 + ... + 2361978.

It is an arithmetic number, because the mean of its divisors is an integer number (95043861).

Almost surely, 25413387776 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 5413387776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603508880).

5413387776 is an abundant number, since it is smaller than the sum of its proper divisors (9793629984).

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

5413387776 is a wasteful number, since it uses less digits than its factorization.

5413387776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2380 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 51.

The square root of 5413387776 is about 73575.7281717279. The cubic root of 5413387776 is about 1755.8593017581.

The spelling of 5413387776 in words is "five billion, four hundred thirteen million, three hundred eighty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 53 58 64 87 96 106 116 128 159 174 192 212 232 256 318 348 384 424 464 512 636 696 768 848 928 1272 1392 1536 1537 1696 1856 2293 2544 2784 3074 3392 3712 4586 4611 5088 5568 6148 6784 6879 7424 9172 9222 10176 11136 12296 13568 13758 14848 18344 18444 20352 22272 24592 27136 27516 36688 36888 40704 44544 49184 55032 66497 73376 73776 81408 98368 110064 121529 132994 146752 147552 196736 199491 220128 243058 265988 293504 295104 364587 393472 398982 440256 486116 531976 587008 590208 729174 786944 797964 880512 972232 1063952 1174016 1180416 1458348 1595928 1761024 1944464 2127904 2360832 2916696 3191856 3522048 3524341 3888928 4255808 5833392 6383712 7048682 7777856 8511616 10573023 11666784 12767424 14097364 15555712 17023232 21146046 23333568 25534848 28194728 31111424 34046464 42292092 46667136 51069696 56389456 62222848 84584184 93334272 102139392 112778912 169168368 186668544 225557824 338336736 451115648 676673472 902231296 1353346944 1804462592 2706693888 5413387776