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5633002540 = 22511211320599
BaseRepresentation
bin1010011111100000…
…01100110000101100
3112112120111011210201
411033300030300230
543014022040130
62330542443244
7256406505634
oct51760146054
915476434721
105633002540
112430757200
121112593524
136ba040cc9
143b61996c4
1522e7e2bca
hex14fc0cc2c

5633002540 has 72 divisors (see below), whose sum is σ = 13118162400. Its totient is φ = 2030138880.

The previous prime is 5633002511. The next prime is 5633002553. The reversal of 5633002540 is 452003365.

It is a junction number, because it is equal to n+sod(n) for n = 5633002499 and 5633002508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263161 + ... + 283759.

It is an arithmetic number, because the mean of its divisors is an integer number (182196700).

Almost surely, 25633002540 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 5633002540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6559081200).

5633002540 is an abundant number, since it is smaller than the sum of its proper divisors (7485159860).

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

5633002540 is a wasteful number, since it uses less digits than its factorization.

5633002540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20743 (or 20730 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 5633002540 is about 75053.3313051459. The cubic root of 5633002540 is about 1779.2896357469.

The spelling of 5633002540 in words is "five billion, six hundred thirty-three million, two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 121 220 226 242 452 484 565 605 1130 1210 1243 2260 2420 2486 4972 6215 12430 13673 20599 24860 27346 41198 54692 68365 82396 102995 136730 205990 226589 273460 411980 453178 906356 1132945 2265890 2327687 2492479 4531780 4655374 4984958 9310748 9969916 11638435 12462395 23276870 24924790 25604557 46553740 49849580 51209114 102418228 128022785 256045570 281650127 512091140 563300254 1126600508 1408250635 2816501270 5633002540