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5535655668 = 22371737223
BaseRepresentation
bin1010010011111001…
…10110011011110100
3112021210022110000000
411021330312123310
542314111440133
62313144151300
7254115203544
oct51174663364
915253273000
105535655668
112390808044
1210a5a68530
136a2b18cca
143a7299324
15225eb4413
hex149f366f4

5535655668 has 96 divisors (see below), whose sum is σ = 15383934720. Its totient is φ = 1736629632.

The previous prime is 5535655667. The next prime is 5535655669. The reversal of 5535655668 is 8665565355.

5535655668 is a `hidden beast` number, since 55 + 35 + 6 + 556 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5535655667) and next prime (5535655669).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5535655661) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 130105 + ... + 167327.

It is an arithmetic number, because the mean of its divisors is an integer number (160249320).

Almost surely, 25535655668 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 5535655668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7691967360).

5535655668 is an abundant number, since it is smaller than the sum of its proper divisors (9848279052).

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

5535655668 is a wasteful number, since it uses less digits than its factorization.

5535655668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37265 (or 37245 counting only the distinct ones).

The product of its digits is 16200000, while the sum is 54.

The square root of 5535655668 is about 74401.9869895959. The cubic root of 5535655668 is about 1768.9804067521.

The spelling of 5535655668 in words is "five billion, five hundred thirty-five million, six hundred fifty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 729 918 972 1377 1458 1836 2187 2754 2916 4131 4374 5508 8262 8748 12393 16524 24786 37179 37223 49572 74358 74446 111669 148716 148892 223338 335007 446676 632791 670014 1005021 1265582 1340028 1898373 2010042 2531164 3015063 3796746 4020084 5695119 6030126 7593492 9045189 11390238 12060252 17085357 18090378 22780476 27135567 34170714 36180756 51256071 54271134 68341428 81406701 102512142 108542268 153768213 162813402 205024284 307536426 325626804 461304639 615072852 922609278 1383913917 1845218556 2767827834 5535655668