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5667149696 = 271337831109
BaseRepresentation
bin1010100011100100…
…11101011110000000
3112121221202000220012
411101302131132000
543101242242241
62334202404052
7260302656215
oct52162353600
915557660805
105667149696
112448a5a49a
121121b00628
136c4138820
143ba927b0c
152327da6eb
hex151c9d780

5667149696 has 128 divisors (see below), whose sum is σ = 12648938400. Its totient is φ = 2511986688.

The previous prime is 5667149689. The next prime is 5667149701. The reversal of 5667149696 is 6969417665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5109590 + ... + 5110698.

Almost surely, 25667149696 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 5667149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324469200).

5667149696 is an abundant number, since it is smaller than the sum of its proper divisors (6981788704).

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

5667149696 is a wasteful number, since it uses less digits than its factorization.

5667149696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1244 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 59.

The square root of 5667149696 is about 75280.4735372992. The cubic root of 5667149696 is about 1782.8777353136.

The spelling of 5667149696 in words is "five billion, six hundred sixty-seven million, one hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 83 104 128 148 166 208 296 332 416 481 592 664 832 962 1079 1109 1184 1328 1664 1924 2158 2218 2368 2656 3071 3848 4316 4436 4736 5312 6142 7696 8632 8872 10624 12284 14417 15392 17264 17744 24568 28834 30784 34528 35488 39923 41033 49136 57668 61568 69056 70976 79846 82066 92047 98272 115336 138112 141952 159692 164132 184094 196544 230672 319384 328264 368188 393088 461344 533429 638768 656528 736376 922688 1066858 1196611 1277536 1313056 1472752 1845376 2133716 2393222 2555072 2626112 2945504 3405739 4267432 4786444 5110144 5252224 5891008 6811478 8534864 9572888 11782016 13622956 17069728 19145776 27245912 34139456 38291552 44274607 54491824 68278912 76583104 88549214 108983648 153166208 177098428 217967296 354196856 435934592 708393712 1416787424 2833574848 5667149696