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5346869600 = 255261109567
BaseRepresentation
bin1001111101011001…
…01100000101100000
3111210122002010012102
410332230230011200
541422244311400
62242321545532
7246333433052
oct47654540540
914718063172
105346869600
1122a41942a6
1210527a52a8
13672989c87
1438a1958d2
152146229d5
hex13eb2c160

5346869600 has 72 divisors (see below), whose sum is σ = 13267150848. Its totient is φ = 2103667200.

The previous prime is 5346869587. The next prime is 5346869641. The reversal of 5346869600 is 69686435.

It is a congruent number.

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, 5984 + ... + 103583.

It is an arithmetic number, because the mean of its divisors is an integer number (184265984).

Almost surely, 25346869600 is an apocalyptic number.

5346869600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5346869600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6633575424).

5346869600 is an abundant number, since it is smaller than the sum of its proper divisors (7920281248).

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

5346869600 is a wasteful number, since it uses less digits than its factorization.

5346869600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109648 (or 109635 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 47.

The square root of 5346869600 is about 73122.2920866134. The cubic root of 5346869600 is about 1748.6378079783.

The spelling of 5346869600 in words is "five billion, three hundred forty-six million, eight hundred sixty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 160 200 244 305 400 488 610 800 976 1220 1525 1952 2440 3050 4880 6100 9760 12200 24400 48800 109567 219134 438268 547835 876536 1095670 1753072 2191340 2739175 3506144 4382680 5478350 6683587 8765360 10956700 13367174 17530720 21913400 26734348 33417935 43826800 53468696 66835870 87653600 106937392 133671740 167089675 213874784 267343480 334179350 534686960 668358700 1069373920 1336717400 2673434800 5346869600