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5158532960 = 25575578269
BaseRepresentation
bin1001100110111100…
…01111011101100000
3111022111200121220022
410303132033131200
541031041023320
62211513133012
7241555543460
oct46336173540
914274617808
105158532960
112207948189
12bbb6ba168
13642957689
1436d16bba0
15202d1e325
hex13378f760

5158532960 has 96 divisors (see below), whose sum is σ = 13954731840. Its totient is φ = 1765251072.

The previous prime is 5158532909. The next prime is 5158532971. The reversal of 5158532960 is 692358515.

It is a super-2 number, since 2×51585329602 = 53220924598812723200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619706 + ... + 627974.

It is an arithmetic number, because the mean of its divisors is an integer number (145361790).

Almost surely, 25158532960 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 5158532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6977365920).

5158532960 is an abundant number, since it is smaller than the sum of its proper divisors (8796198880).

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

5158532960 is a wasteful number, since it uses less digits than its factorization.

5158532960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8848 (or 8840 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 44.

The square root of 5158532960 is about 71822.9278155660. The cubic root of 5158532960 is about 1727.8607390915.

The spelling of 5158532960 in words is "five billion, one hundred fifty-eight million, five hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 557 560 1114 1120 2228 2785 3899 4456 5570 7798 8269 8912 11140 15596 16538 17824 19495 22280 31192 33076 38990 41345 44560 57883 62384 66152 77980 82690 89120 115766 124768 132304 155960 165380 231532 264608 289415 311920 330760 463064 578830 623840 661520 926128 1157660 1323040 1852256 2315320 4605833 4630640 9211666 9261280 18423332 23029165 32240831 36846664 46058330 64481662 73693328 92116660 128963324 147386656 161204155 184233320 257926648 322408310 368466640 515853296 644816620 736933280 1031706592 1289633240 2579266480 5158532960