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5501063808 = 27344112941
BaseRepresentation
bin1010001111110001…
…11001001010000000
3112012101012222220000
411013320321022000
542231233020213
62305510520000
7253215161622
oct50770711200
915171188800
105501063808
112373230729
121096366000
136988c6c56
143a2852c12
15222e2ec73
hex147e39280

5501063808 has 160 divisors (see below), whose sum is σ = 16771667220. Its totient is φ = 1788825600.

The previous prime is 5501063807. The next prime is 5501063833. The reversal of 5501063808 is 8083601055.

5501063808 is a `hidden beast` number, since 5 + 5 + 0 + 10 + 638 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5382863424 + 118200384 = 73368^2 + 10872^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5501063803) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 418618 + ... + 431558.

Almost surely, 25501063808 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 5501063808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385833610).

5501063808 is an abundant number, since it is smaller than the sum of its proper divisors (11270603412).

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

5501063808 is a wasteful number, since it uses less digits than its factorization.

5501063808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13008 (or 12987 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5501063808 is about 74169.1567162523. The cubic root of 5501063808 is about 1765.2879667749.

The spelling of 5501063808 in words is "five billion, five hundred one million, sixty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 216 246 288 324 328 369 384 432 492 576 648 656 738 864 984 1107 1152 1296 1312 1476 1728 1968 2214 2592 2624 2952 3321 3456 3936 4428 5184 5248 5904 6642 7872 8856 10368 11808 12941 13284 15744 17712 23616 25882 26568 35424 38823 47232 51764 53136 70848 77646 103528 106272 116469 141696 155292 207056 212544 232938 310584 349407 414112 425088 465876 530581 621168 698814 828224 931752 1048221 1061162 1242336 1397628 1591743 1656448 1863504 2096442 2122324 2484672 2795256 3183486 3727008 4192884 4244648 4775229 4969344 5590512 6366972 7454016 8385768 8489296 9550458 11181024 12733944 14325687 14908032 16771536 16978592 19100916 22362048 25467888 28651374 33543072 33957184 38201832 42977061 44724096 50935776 57302748 67086144 67914368 76403664 85954122 101871552 114605496 134172288 152807328 171908244 203743104 229210992 305614656 343816488 458421984 611229312 687632976 916843968 1375265952 1833687936 2750531904 5501063808