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4992124914 = 2327179389569
BaseRepresentation
bin1001010011000110…
…11100011111110010
3110212220120012222100
410221203130133302
540210440444124
62143210321230
7234465235020
oct45143343762
913786505870
104992124914
112131a19377
12b73a29216
1361733228a
14355011710
151e33ed1c9
hex1298dc7f2

4992124914 has 96 divisors (see below), whose sum is σ = 12484368000. Its totient is φ = 1412220672.

The previous prime is 4992124903. The next prime is 4992124939. The reversal of 4992124914 is 4194212994.

It is a happy number.

It is a super-2 number, since 2×49921249142 = 49842622313959014792, which contains 22 as substring.

Its product of digits (186624) is a multiple of the sum of its prime factors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 4992124914.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8773222 + ... + 8773790.

It is an arithmetic number, because the mean of its divisors is an integer number (130045500).

Almost surely, 24992124914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4992124914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242184000).

4992124914 is an abundant number, since it is smaller than the sum of its proper divisors (7492243086).

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

4992124914 is a wasteful number, since it uses less digits than its factorization.

4992124914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1149 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 4992124914 is about 70654.9709079269. The cubic root of 4992124914 is about 1709.0777277656.

The spelling of 4992124914 in words is "four billion, nine hundred ninety-two million, one hundred twenty-four thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 179 358 389 537 569 778 1074 1138 1167 1253 1611 1707 2334 2506 2723 3222 3414 3501 3759 3983 5121 5446 7002 7518 7966 8169 10242 11277 11949 16338 22554 23898 24507 35847 49014 69631 71694 101851 139262 203702 208893 221341 305553 417786 442682 487417 611106 626679 664023 712957 916659 974834 1253358 1328046 1425914 1462251 1549387 1833318 1992069 2138871 2924502 3098774 3984138 4277742 4386753 4648161 6416613 8773506 9296322 12833226 13944483 27888966 39620039 79240078 118860117 237720234 277340273 356580351 554680546 713160702 832020819 1664041638 2496062457 4992124914