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5033032576 = 2711131312099
BaseRepresentation
bin1001010111111110…
…11111101110000000
3110222202112112201221
410223333133232000
540301424020301
62151231204424
7235503033235
oct45377375600
913882475657
105033032576
112153019960
12b85676714
13622955cb0
1435a61d78c
151e6ccdda1
hex12bfdfb80

5033032576 has 128 divisors (see below), whose sum is σ = 11875248000. Its totient is φ = 2094643200.

The previous prime is 5033032573. The next prime is 5033032603. The reversal of 5033032576 is 6752303305.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×50330325762 = 50662833822154391552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5033032573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2396775 + ... + 2398873.

It is an arithmetic number, because the mean of its divisors is an integer number (92775375).

Almost surely, 25033032576 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 5033032576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937624000).

5033032576 is an abundant number, since it is smaller than the sum of its proper divisors (6842215424).

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

5033032576 is a wasteful number, since it uses less digits than its factorization.

5033032576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 34.

The square root of 5033032576 is about 70943.8691924820. The cubic root of 5033032576 is about 1713.7333450425.

The spelling of 5033032576 in words is "five billion, thirty-three million, thirty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 131 143 176 208 262 286 352 416 524 572 704 832 1048 1144 1408 1441 1664 1703 2096 2099 2288 2882 3406 4192 4198 4576 5764 6812 8384 8396 9152 11528 13624 16768 16792 18304 18733 23056 23089 27248 27287 33584 37466 46112 46178 54496 54574 67168 74932 92224 92356 108992 109148 134336 149864 184448 184712 217984 218296 268672 274969 299728 300157 369424 436592 549938 599456 600314 738848 873184 1099876 1198912 1200628 1477696 1746368 2199752 2397824 2401256 2955392 3024659 3492736 3574597 4399504 4802512 6049318 7149194 8799008 9605024 12098636 14298388 17598016 19210048 24197272 28596776 35196032 38420096 39320567 48394544 57193552 78641134 96789088 114387104 157282268 193578176 228774208 314564536 387156352 457548416 629129072 1258258144 2516516288 5033032576