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4929877590 = 235113331373
BaseRepresentation
bin1001001011101011…
…11111011001010110
3110201120102201200220
410211311333121112
540044022040330
62133104215210
7233111160651
oct44565773126
913646381626
104929877590
1120aa873000
12b5700a506
13607479441
1434aa4a898
151dcc04710
hex125d7f656

4929877590 has 128 divisors (see below), whose sum is σ = 13088300544. Its totient is φ = 1188316800.

The previous prime is 4929877553. The next prime is 4929877607. The reversal of 4929877590 is 957789294.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13216644 + ... + 13217016.

It is an arithmetic number, because the mean of its divisors is an integer number (102252348).

Almost surely, 24929877590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4929877590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544150272).

4929877590 is an abundant number, since it is smaller than the sum of its proper divisors (8158422954).

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

4929877590 is a wasteful number, since it uses less digits than its factorization.

4929877590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The square root of 4929877590 is about 70213.0870279893. The cubic root of 4929877590 is about 1701.9444406363.

The spelling of 4929877590 in words is "four billion, nine hundred twenty-nine million, eight hundred seventy-seven thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 331 363 373 605 662 726 746 993 1119 1210 1331 1655 1815 1865 1986 2238 2662 3310 3630 3641 3730 3993 4103 4965 5595 6655 7282 7986 8206 9930 10923 11190 12309 13310 18205 19965 20515 21846 24618 36410 39930 40051 41030 45133 54615 61545 80102 90266 109230 120153 123090 123463 135399 200255 225665 240306 246926 270798 370389 400510 440561 451330 496463 600765 617315 676995 740778 881122 992926 1201530 1234630 1321683 1353990 1358093 1489389 1851945 2202805 2482315 2643366 2716186 2978778 3703890 4074279 4405610 4964630 6608415 6790465 7446945 8148558 13216830 13580930 14893890 14939023 20371395 29878046 40742790 44817069 74695115 89634138 149390230 164329253 224085345 328658506 448170690 492987759 821646265 985975518 1643292530 2464938795 4929877590