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5629509036 = 22324719716889
BaseRepresentation
bin1010011111000101…
…10111110110101100
3112112022220200121200
411033202313312230
543012123242121
62330335525500
7256335015534
oct51742676654
915468820550
105629509036
112429790508
121111389890
136b93b9b48
143b592a4c4
1522e352a26
hex14f8b7dac

5629509036 has 72 divisors (see below), whose sum is σ = 14607552960. Its totient is φ = 1827146496.

The previous prime is 5629509007. The next prime is 5629509071. The reversal of 5629509036 is 6309059265.

5629509036 is a `hidden beast` number, since 562 + 9 + 50 + 9 + 0 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5629508982 and 5629509000.

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, 324880 + ... + 341768.

It is an arithmetic number, because the mean of its divisors is an integer number (202882680).

Almost surely, 25629509036 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 5629509036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7303776480).

5629509036 is an abundant number, since it is smaller than the sum of its proper divisors (8978043924).

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

5629509036 is a wasteful number, since it uses less digits than its factorization.

5629509036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17143 (or 17138 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 5629509036 is about 75030.0542182931. The cubic root of 5629509036 is about 1778.9217300653.

The spelling of 5629509036 in words is "five billion, six hundred twenty-nine million, five hundred nine thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 197 282 394 423 564 591 788 846 1182 1692 1773 2364 3546 7092 9259 16889 18518 27777 33778 37036 50667 55554 67556 83331 101334 111108 152001 166662 202668 304002 333324 608004 793783 1587566 2381349 3175132 3327133 4762698 6654266 7144047 9525396 9981399 13308532 14288094 19962798 28576188 29944197 39925596 59888394 119776788 156375251 312750502 469125753 625501004 938251506 1407377259 1876503012 2814754518 5629509036