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6149101014 = 233723294
BaseRepresentation
bin1011011101000001…
…11101010111010110
3120212112121200211000
411232200331113112
5100043132213024
62454100324130
7305244332130
oct55640752726
916775550730
106149101014
112676009671
1212373a3646
1376cc41714
14424942050
1525ec8acc9
hex16e83d5d6

6149101014 has 160 divisors (see below), whose sum is σ = 16877744640. Its totient is φ = 1622551392.

The previous prime is 6149101001. The next prime is 6149101033. The reversal of 6149101014 is 4101019416.

It is a super-2 number, since 2×61491010142 = 75622886560751656392, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 212037952 + ... + 212037980.

It is an arithmetic number, because the mean of its divisors is an integer number (105485904).

Almost surely, 26149101014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6149101014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8438872320).

6149101014 is an abundant number, since it is smaller than the sum of its proper divisors (10728643626).

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

6149101014 is an frugal number, since it uses more digits than its factorization.

6149101014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 6149101014 is about 78416.2037719246. The cubic root of 6149101014 is about 1832.0495231666.

The spelling of 6149101014 in words is "six billion, one hundred forty-nine million, one hundred one thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 29 42 46 54 58 63 69 87 126 138 161 174 189 203 207 261 322 378 406 414 483 522 609 621 667 783 841 966 1218 1242 1334 1449 1566 1682 1827 2001 2523 2898 3654 4002 4347 4669 5046 5481 5887 6003 7569 8694 9338 10962 11774 12006 14007 15138 17661 18009 19343 22707 24389 28014 35322 36018 38686 42021 45414 48778 52983 58029 73167 84042 105966 116058 126063 135401 146334 158949 170723 174087 219501 252126 270802 317898 341446 348174 406203 439002 512169 522261 560947 658503 707281 812406 1024338 1044522 1121894 1218609 1317006 1414562 1536507 1682841 2121843 2437218 3073014 3365682 3655827 3926629 4243686 4609521 4950967 5048523 6365529 7311654 7853258 9219042 9901934 10097046 11779887 12731058 14852901 15145569 16267463 19096587 23559774 29705802 30291138 32534926 35339661 38193174 44558703 48802389 70679322 89117406 97604778 106018983 113872241 133676109 146407167 212037966 227744482 267352218 292814334 341616723 439221501 683233446 878443002 1024850169 2049700338 3074550507 6149101014