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34720123825 = 5217375937423
BaseRepresentation
bin100000010101011110…
…110000101110110001
310022121201001001000001
4200111132300232301
51032101322430300
623541124430001
72336253116542
oct402536605661
9108551031001
1034720123825
11137a7671a12
12688b848301
13337425078a
1419752944c9
15d831e916a
hex8157b0bb1

34720123825 has 48 divisors (see below), whose sum is σ = 47612309760. Its totient is φ = 25003883520.

The previous prime is 34720123807. The next prime is 34720123853. The reversal of 34720123825 is 52832102743.

It is not a de Polignac number, because 34720123825 - 25 = 34720123793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909064 + ... + 946486.

It is an arithmetic number, because the mean of its divisors is an integer number (991923120).

Almost surely, 234720123825 is an apocalyptic number.

It is an amenable number.

34720123825 is a deficient number, since it is larger than the sum of its proper divisors (12892185935).

34720123825 is a wasteful number, since it uses less digits than its factorization.

34720123825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37546 (or 37541 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 34720123825 in words is "thirty-four billion, seven hundred twenty million, one hundred twenty-three thousand, eight hundred twenty-five".

Divisors: 1 5 17 25 37 59 85 185 295 425 629 925 1003 1475 2183 3145 5015 10915 15725 25075 37111 37423 54575 185555 187115 636191 927775 935575 1384651 2207957 3180955 6923255 11039785 15904775 23539067 34616275 37535269 55198925 81694409 117695335 187676345 408472045 588476675 938381725 1388804953 2042360225 6944024765 34720123825