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4120729872 = 243721752011
BaseRepresentation
bin1111010110011101…
…0101100100010000
3101122011212202200220
43311213111210100
531414401323442
61520521313040
7204054424500
oct36547254420
911564782626
104120729872
111825054386
12970035780
135089428cc
142b13bda00
15191b71eec
hexf59d5910

4120729872 has 60 divisors (see below), whose sum is σ = 12383220816. Its totient is φ = 1177350720.

The previous prime is 4120729867. The next prime is 4120729883. The reversal of 4120729872 is 2789270214.

4120729872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 873654 + ... + 878357.

Almost surely, 24120729872 is an apocalyptic number.

4120729872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4120729872 is an abundant number, since it is smaller than the sum of its proper divisors (8262490944).

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

4120729872 is a wasteful number, since it uses less digits than its factorization.

4120729872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752036 (or 1752023 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 4120729872 is about 64192.9113843577. The cubic root of 4120729872 is about 1603.2135766736.

The spelling of 4120729872 in words is "four billion, one hundred twenty million, seven hundred twenty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 1752011 3504022 5256033 7008044 10512066 12264077 14016088 21024132 24528154 28032176 36792231 42048264 49056308 73584462 84096528 85848539 98112616 147168924 171697078 196225232 257545617 294337848 343394156 515091234 588675696 686788312 1030182468 1373576624 2060364936 4120729872