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5676145920 = 28325492721
BaseRepresentation
bin1010100100101001…
…10001110100000000
3112122120200002101200
411102110301310000
543111043132140
62335123301200
7260442305244
oct52224616400
915576602350
105676145920
112453044495
121124b1a800
136c5c68533
143bbbca424
152334b6030
hex152531d00

5676145920 has 108 divisors (see below), whose sum is σ = 19638913476. Its totient is φ = 1513635840.

The previous prime is 5676145883. The next prime is 5676145921. The reversal of 5676145920 is 295416765.

5676145920 is a `hidden beast` number, since 5 + 6 + 7 + 614 + 5 + 9 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2692364544 + 2983781376 = 51888^2 + 54624^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5676145921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234841 + ... + 257880.

Almost surely, 25676145920 is an apocalyptic number.

It is an amenable number.

5676145920 is an abundant number, since it is smaller than the sum of its proper divisors (13962767556).

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

5676145920 is a wasteful number, since it uses less digits than its factorization.

5676145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492748 (or 492731 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5676145920 is about 75340.2012208622. The cubic root of 5676145920 is about 1783.8206365821.

The spelling of 5676145920 in words is "five billion, six hundred seventy-six million, one hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 492721 985442 1478163 1970884 2463605 2956326 3941768 4434489 4927210 5912652 7390815 7883536 8868978 9854420 11825304 14781630 15767072 17737956 19708840 22172445 23650608 29563260 31534144 35475912 39417680 44344890 47301216 59126520 63068288 70951824 78835360 88689780 94602432 118253040 126136576 141903648 157670720 177379560 189204864 236506080 283807296 315341440 354759120 378409728 473012160 567614592 630682880 709518240 946024320 1135229184 1419036480 1892048640 2838072960 5676145920