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103483016964 = 223317332916931
BaseRepresentation
bin110000001100000010…
…0011000011100000100
3100220002220112221022000
41200120010120130010
53143413123020324
6115312304105300
710322256062625
oct1403004303404
9326086487260
10103483016964
113a983513318
1218080305230
1399b22b0c22
14501987ba4c
152a59dde9c9
hex1818118704

103483016964 has 96 divisors (see below), whose sum is σ = 284173142400. Its totient is φ = 32453591040.

The previous prime is 103483016957. The next prime is 103483016969. The reversal of 103483016964 is 469610384301.

103483016964 is a `hidden beast` number, since 1 + 0 + 3 + 483 + 0 + 169 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (103483016969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6103579 + ... + 6120509.

It is an arithmetic number, because the mean of its divisors is an integer number (2960136900).

Almost surely, 2103483016964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103483016964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142086571200).

103483016964 is an abundant number, since it is smaller than the sum of its proper divisors (180690125436).

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

103483016964 is a wasteful number, since it uses less digits than its factorization.

103483016964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20290 (or 20282 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 103483016964 in words is "one hundred three billion, four hundred eighty-three million, sixteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 3329 6658 9987 13316 16931 19974 29961 33862 39948 50793 56593 59922 67724 89883 101586 113186 119844 152379 169779 179766 203172 226372 287827 304758 339558 359532 457137 509337 575654 609516 679116 863481 914274 1018674 1151308 1528011 1726962 1828548 2037348 2590443 3056022 3453924 5180886 6112044 7771329 10361772 15542658 31085316 56363299 112726598 169089897 225453196 338179794 507269691 676359588 958176083 1014539382 1521809073 1916352166 2029078764 2874528249 3043618146 3832704332 5749056498 6087236292 8623584747 11498112996 17247169494 25870754241 34494338988 51741508482 103483016964