Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
46001017125 = 335372398147
BaseRepresentation
bin101010110101110111…
…111101000100100101
311101201220000210102000
4222311313331010211
51223202230022000
633044345235513
73215643123360
oct526567750445
9141656023360
1046001017125
1118566414028
128ab9792b99
13445141627b
1423255a30d7
1512e3771000
hexab5dfd125

46001017125 has 128 divisors (see below), whose sum is σ = 97619558400. Its totient is φ = 20938478400.

The previous prime is 46001017103. The next prime is 46001017133. The reversal of 46001017125 is 52171010064.

It is a happy number.

46001017125 is a `hidden beast` number, since 460 + 0 + 10 + 171 + 25 = 666.

It is not a de Polignac number, because 46001017125 - 26 = 46001017061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5642302 + ... + 5650448.

It is an arithmetic number, because the mean of its divisors is an integer number (762652800).

Almost surely, 246001017125 is an apocalyptic number.

46001017125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

46001017125 is an abundant number, since it is smaller than the sum of its proper divisors (51618541275).

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

46001017125 is a wasteful number, since it uses less digits than its factorization.

46001017125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8417 (or 8401 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 46001017125 its reverse (52171010064), we get a palindrome (98172027189).

The spelling of 46001017125 in words is "forty-six billion, one million, seventeen thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 239 315 375 525 675 717 875 945 1125 1195 1575 1673 2151 2625 3375 3585 4725 5019 5975 6453 7875 8147 8365 10755 15057 17925 23625 24441 25095 29875 32265 40735 41825 45171 53775 57029 73323 75285 89625 122205 125475 161325 171087 203675 209125 219969 225855 268875 285145 366615 376425 513261 611025 627375 806625 855435 1018375 1099845 1129275 1425725 1539783 1833075 1882125 1947133 2566305 3055125 4277175 5499225 5646375 5841399 7128625 7698915 9165375 9735665 12831525 13629931 17524197 21385875 27496125 29206995 38494575 40889793 48678325 52572591 64157625 68149655 87620985 122669379 146034975 192472875 204448965 243391625 262862955 340748275 368008137 438104925 613346895 730174875 1022244825 1314314775 1703741375 1840040685 2190524625 3066734475 5111224125 6571573875 9200203425 15333672375 46001017125