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4151929144 = 2311240910487
BaseRepresentation
bin1111011101111001…
…0110100100111000
3101201100120212001111
43313132112210320
532000343213034
61523554130104
7204613546456
oct36736264470
911640525044
104151929144
111840723900
1297a580934
1351224770c
142b55c19d6
15194786364
hexf7796938

4151929144 has 48 divisors (see below), whose sum is σ = 8578659600. Its totient is φ = 1882446720.

The previous prime is 4151929139. The next prime is 4151929207. The reversal of 4151929144 is 4419291514.

It is a junction number, because it is equal to n+sod(n) for n = 4151929097 and 4151929106.

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 11 ways as a sum of consecutive naturals, for example, 390669 + ... + 401155.

It is an arithmetic number, because the mean of its divisors is an integer number (178722075).

Almost surely, 24151929144 is an apocalyptic number.

4151929144 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 4151929144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289329800).

4151929144 is an abundant number, since it is smaller than the sum of its proper divisors (4426730456).

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

4151929144 is a wasteful number, since it uses less digits than its factorization.

4151929144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10924 (or 10909 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The square root of 4151929144 is about 64435.4649552558. The cubic root of 4151929144 is about 1607.2495435884.

The spelling of 4151929144 in words is "four billion, one hundred fifty-one million, nine hundred twenty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 409 484 818 968 1636 3272 4499 8998 10487 17996 20974 35992 41948 49489 83896 98978 115357 197956 230714 395912 461428 922856 1268927 2537854 4289183 5075708 8578366 10151416 17156732 34313464 47181013 94362026 188724052 377448104 518991143 1037982286 2075964572 4151929144