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5633704032 = 253119975351
BaseRepresentation
bin1010011111100101…
…11000000001100000
3112112121210211001220
411033302320001200
543014212012112
62331005455040
7256415460045
oct51762700140
915477724056
105633704032
112431096250
121112871480
136ba2283a8
143b62dd1cc
1522e8d098c
hex14fcb8060

5633704032 has 96 divisors (see below), whose sum is σ = 16152079104. Its totient is φ = 1705152000.

The previous prime is 5633704007. The next prime is 5633704033. The reversal of 5633704032 is 2304073365.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×56337040322 = 63477242240346114048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5633703984 and 5633704002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5633704033) 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, 1050157 + ... + 1055507.

It is an arithmetic number, because the mean of its divisors is an integer number (168250824).

Almost surely, 25633704032 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 5633704032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8076039552).

5633704032 is an abundant number, since it is smaller than the sum of its proper divisors (10518375072).

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

5633704032 is a wasteful number, since it uses less digits than its factorization.

5633704032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 33.

The square root of 5633704032 is about 75058.0044498920. The cubic root of 5633704032 is about 1779.3634924884.

Adding to 5633704032 its reverse (2304073365), we get a palindrome (7937777397).

The spelling of 5633704032 in words is "five billion, six hundred thirty-three million, seven hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 997 1056 1994 2991 3988 5351 5982 7976 10702 10967 11964 15952 16053 21404 21934 23928 31904 32106 32901 42808 43868 47856 58861 64212 65802 85616 87736 95712 117722 128424 131604 171232 175472 176583 235444 256848 263208 350944 353166 470888 513696 526416 706332 941776 1052832 1412664 1883552 2825328 5334947 5650656 10669894 16004841 21339788 32009682 42679576 58684417 64019364 85359152 117368834 128038728 170718304 176053251 234737668 256077456 352106502 469475336 512154912 704213004 938950672 1408426008 1877901344 2816852016 5633704032