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4999132920 = 2335131487653
BaseRepresentation
bin1001010011111100…
…01011011011111000
3110220101202021011010
410221332023123320
540214234223140
62144020433520
7234611633355
oct45176133370
913811667133
104999132920
112135975611
12b762488a0
13618917022
14355d1762c
151e3d34880
hex129f8b6f8

4999132920 has 128 divisors (see below), whose sum is σ = 15166103040. Its totient is φ = 1318187520.

The previous prime is 4999132907. The next prime is 4999132973. The reversal of 4999132920 is 292319994.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4999132920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7655314 + ... + 7655966.

It is an arithmetic number, because the mean of its divisors is an integer number (118485180).

Almost surely, 24999132920 is an apocalyptic number.

4999132920 is a gapful number since it is divisible by the number (40) 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 4999132920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583051520).

4999132920 is an abundant number, since it is smaller than the sum of its proper divisors (10166970120).

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

4999132920 is a wasteful number, since it uses less digits than its factorization.

4999132920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The square root of 4999132920 is about 70704.5466713421. The cubic root of 4999132920 is about 1709.8770952327.

The spelling of 4999132920 in words is "four billion, nine hundred ninety-nine million, one hundred thirty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 487 524 653 655 786 974 1048 1306 1310 1461 1572 1948 1959 1965 2435 2612 2620 2922 3144 3265 3896 3918 3930 4870 5224 5240 5844 6530 7305 7836 7860 9740 9795 11688 13060 14610 15672 15720 19480 19590 26120 29220 39180 58440 63797 78360 85543 127594 171086 191391 255188 256629 318011 318985 342172 382782 427715 510376 513258 636022 637970 684344 765564 855430 954033 956955 1026516 1272044 1275940 1283145 1531128 1590055 1710860 1908066 1913910 2053032 2544088 2551880 2566290 3180110 3421720 3816132 3827820 4770165 5132580 6360220 7632264 7655640 9540330 10265160 12720440 19080660 38161320 41659441 83318882 124978323 166637764 208297205 249956646 333275528 416594410 499913292 624891615 833188820 999826584 1249783230 1666377640 2499566460 4999132920