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4992113104 = 2411173374951
BaseRepresentation
bin1001010011000110…
…11001100111010000
3110212220112121202221
410221203121213100
540210440104404
62143210150424
7234465155416
oct45143314720
913786477687
104992113104
112131a10510
12b73a22414
13617329aa4
1435500b2b6
151e33e9954
hex1298d99d0

4992113104 has 80 divisors (see below), whose sum is σ = 11207604096. Its totient is φ = 2128896000.

The previous prime is 4992113083. The next prime is 4992113107. The reversal of 4992113104 is 4013112994.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 4992113104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4992113107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005829 + ... + 1010779.

Almost surely, 24992113104 is an apocalyptic number.

4992113104 is a gapful number since it is divisible by the number (44) 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 4992113104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603802048).

4992113104 is an abundant number, since it is smaller than the sum of its proper divisors (6215490992).

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

4992113104 is a wasteful number, since it uses less digits than its factorization.

4992113104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 4992113104 is about 70654.8873327245. The cubic root of 4992113104 is about 1709.0763800279.

The spelling of 4992113104 in words is "four billion, nine hundred ninety-two million, one hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 337 374 674 748 1348 1496 2696 2992 3707 4951 5392 5729 7414 9902 11458 14828 19804 22916 29656 39608 45832 54461 59312 63019 79216 84167 91664 108922 126038 168334 217844 252076 336668 435688 504152 673336 871376 925837 1008304 1346672 1668487 1851674 3336974 3703348 6673948 7406696 13347896 14813392 18353357 26695792 28364279 36706714 56728558 73413428 113457116 146826856 226914232 293653712 312007069 453828464 624014138 1248028276 2496056552 4992113104