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5461011336 = 23311316110939
BaseRepresentation
bin1010001011000000…
…00110101110001000
3112002120212010020010
411011200012232020
542141004330321
62301520231520
7252220554564
oct50540065610
915076763203
105461011336
112352664710
121084a6b5a0
13690512571
1439b3c86a4
1521e66c676
hex145806b88

5461011336 has 128 divisors (see below), whose sum is σ = 15627571200. Its totient is φ = 1575072000.

The previous prime is 5461011329. The next prime is 5461011343. The reversal of 5461011336 is 6331101645.

It is an interprime number because it is at equal distance from previous prime (5461011329) and next prime (5461011343).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493755 + ... + 504693.

It is an arithmetic number, because the mean of its divisors is an integer number (122090400).

Almost surely, 25461011336 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 5461011336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7813785600).

5461011336 is an abundant number, since it is smaller than the sum of its proper divisors (10166559864).

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

5461011336 is a wasteful number, since it uses less digits than its factorization.

5461011336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11051 (or 11047 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5461011336 is about 73898.6558470450. The cubic root of 5461011336 is about 1760.9932556388.

The spelling of 5461011336 in words is "five billion, four hundred sixty-one million, eleven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 61 62 66 88 93 122 124 132 183 186 244 248 264 341 366 372 488 671 682 732 744 1023 1342 1364 1464 1891 2013 2046 2684 2728 3782 4026 4092 5368 5673 7564 8052 8184 10939 11346 15128 16104 20801 21878 22692 32817 41602 43756 45384 62403 65634 83204 87512 120329 124806 131268 166408 240658 249612 262536 339109 360987 481316 499224 667279 678218 721974 962632 1017327 1334558 1356436 1443948 2001837 2034654 2669116 2712872 2887896 3730199 4003674 4069308 5338232 7340069 7460398 8007348 8138616 11190597 14680138 14920796 16014696 20685649 22020207 22381194 29360276 29841592 41371298 44040414 44762388 58720552 62056947 82742596 88080828 89524776 124113894 165485192 176161656 227542139 248227788 455084278 496455576 682626417 910168556 1365252834 1820337112 2730505668 5461011336