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5149086000 = 243531316551
BaseRepresentation
bin1001100101110100…
…01101000100110000
3111021211220200002220
410302322031010300
541021131223000
62210534441040
7241412336352
oct46272150460
914254820086
105149086000
112202585583
12bb8503180
136409ca766
1436bbcd0d2
152020a51a0
hex132e8d130

5149086000 has 160 divisors (see below), whose sum is σ = 16729929216. Its totient is φ = 1362400000.

The previous prime is 5149085951. The next prime is 5149086049. The reversal of 5149086000 is 6809415.

It is an interprime number because it is at equal distance from previous prime (5149085951) and next prime (5149086049).

It is a super-3 number, since 3×51490860003 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782725 + ... + 789275.

Almost surely, 25149086000 is an apocalyptic number.

5149086000 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 5149086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8364964608).

5149086000 is an abundant number, since it is smaller than the sum of its proper divisors (11580843216).

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

5149086000 is a wasteful number, since it uses less digits than its factorization.

5149086000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6708 (or 6692 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 5149086000 is about 71757.1320497134. The cubic root of 5149086000 is about 1726.8053353018.

The spelling of 5149086000 in words is "five billion, one hundred forty-nine million, eighty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 131 150 200 240 250 262 300 375 393 400 500 524 600 655 750 786 1000 1048 1200 1310 1500 1572 1965 2000 2096 2620 3000 3144 3275 3930 5240 6000 6288 6550 6551 7860 9825 10480 13100 13102 15720 16375 19650 19653 26200 26204 31440 32750 32755 39300 39306 49125 52400 52408 65500 65510 78600 78612 98250 98265 104816 131000 131020 157200 157224 163775 196500 196530 262000 262040 314448 327550 393000 393060 491325 524080 655100 786000 786120 818875 858181 982650 1310200 1572240 1637750 1716362 1965300 2456625 2574543 2620400 3275500 3432724 3930600 4290905 4913250 5149086 6551000 6865448 7861200 8581810 9826500 10298172 12872715 13102000 13730896 17163620 19653000 20596344 21454525 25745430 34327240 39306000 41192688 42909050 51490860 64363575 68654480 85818100 102981720 107272625 128727150 171636200 205963440 214545250 257454300 321817875 343272400 429090500 514908600 643635750 858181000 1029817200 1287271500 1716362000 2574543000 5149086000