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5378781640 = 2351712136521
BaseRepresentation
bin1010000001001100…
…11011000111001000
3111212212010102021211
411000212123013020
542003432003030
62245421542504
7250201614061
oct50046330710
914785112254
105378781640
112310200291
121061414a34
1367948133b
14390501568
1521732812a
hex14099b1c8

5378781640 has 64 divisors (see below), whose sum is σ = 12826686960. Its totient is φ = 2022973440.

The previous prime is 5378781613. The next prime is 5378781671. The reversal of 5378781640 is 461878735.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2914056324 + 2464725316 = 53982^2 + 49646^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821580 + ... + 828100.

Almost surely, 25378781640 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 5378781640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413343480).

5378781640 is an abundant number, since it is smaller than the sum of its proper divisors (7447905320).

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

5378781640 is a wasteful number, since it uses less digits than its factorization.

5378781640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The square root of 5378781640 is about 73340.1775291007. The cubic root of 5378781640 is about 1752.1097428877.

The spelling of 5378781640 in words is "five billion, three hundred seventy-eight million, seven hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1213 2426 4852 6065 6521 9704 12130 13042 20621 24260 26084 32605 41242 48520 52168 65210 82484 103105 110857 130420 164968 206210 221714 260840 412420 443428 554285 824840 886856 1108570 2217140 4434280 7909973 15819946 31639892 39549865 63279784 79099730 134469541 158199460 268939082 316398920 537878164 672347705 1075756328 1344695410 2689390820 5378781640