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5632105536 = 263211238707
BaseRepresentation
bin1010011111011001…
…10001110001000000
3112112111210121100100
411033230301301000
543013304334121
62330511322400
7256366051521
oct51754616100
915474717310
105632105536
1124301a4282
121112220400
136b9ab8935
143b6004848
1522e6b7026
hex14fb31c40

5632105536 has 84 divisors (see below), whose sum is σ = 16159644592. Its totient is φ = 1875481344.

The previous prime is 5632105511. The next prime is 5632105541. The reversal of 5632105536 is 6355012365.

5632105536 is a `hidden beast` number, since 5 + 632 + 10 + 5 + 5 + 3 + 6 = 666.

It is a super-2 number, since 2×56321055362 = 63441225537283694592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5632105536.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642495 + ... + 651201.

Almost surely, 25632105536 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 5632105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8079822296).

5632105536 is an abundant number, since it is smaller than the sum of its proper divisors (10527539056).

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

5632105536 is a wasteful number, since it uses less digits than its factorization.

5632105536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848 (or 9835 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 5632105536 is about 75047.3552898435. The cubic root of 5632105536 is about 1779.1951855472.

The spelling of 5632105536 in words is "five billion, six hundred thirty-two million, one hundred five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1123 2246 3369 4492 6738 8707 8984 10107 13476 17414 17968 20214 26121 26952 34828 35936 40428 52242 53904 69656 71872 78363 80856 104484 107808 139312 156726 161712 208968 215616 278624 313452 323424 417936 557248 626904 646848 835872 1253808 1671744 2507616 5015232 9777961 19555922 29333883 39111844 58667766 78223688 88001649 117335532 156447376 176003298 234671064 312894752 352006596 469342128 625789504 704013192 938684256 1408026384 1877368512 2816052768 5632105536