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4375141520 = 245536191667
BaseRepresentation
bin1000001001100011…
…10101110010010000
3102021220121012212112
410010301311302100
532430014012040
62002050244452
7213264042431
oct40461656220
912256535775
104375141520
111945720642
12a21286728
1354956b349
142d70c7488
151a9178365
hex104c75c90

4375141520 has 80 divisors (see below), whose sum is σ = 10387103040. Its totient is φ = 1713234432.

The previous prime is 4375141513. The next prime is 4375141523. The reversal of 4375141520 is 251415734.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4375141523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2623727 + ... + 2625393.

It is an arithmetic number, because the mean of its divisors is an integer number (129838788).

Almost surely, 24375141520 is an apocalyptic number.

4375141520 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 4375141520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193551520).

4375141520 is an abundant number, since it is smaller than the sum of its proper divisors (6011961520).

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

4375141520 is a wasteful number, since it uses less digits than its factorization.

4375141520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 4375141520 is about 66144.8525586081. The cubic root of 4375141520 is about 1635.5507900015.

The spelling of 4375141520 in words is "four billion, three hundred seventy-five million, one hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 619 848 1060 1238 1667 2120 2476 3095 3334 4240 4952 6190 6668 8335 9904 12380 13336 16670 24760 26672 32807 33340 49520 65614 66680 88351 131228 133360 164035 176702 262456 328070 353404 441755 524912 656140 706808 883510 1031873 1312280 1413616 1767020 2063746 2624560 3534040 4127492 5159365 7068080 8254984 10318730 16509968 20637460 41274920 54689269 82549840 109378538 218757076 273446345 437514152 546892690 875028304 1093785380 2187570760 4375141520