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5355206352 = 2433293113789
BaseRepresentation
bin1001111110011000…
…11111011011010000
3111211012202200002000
410333030133123100
541431413100402
62243220354000
7246464334336
oct47714373320
914735680060
105355206352
1122a8968881
121055545900
13674618772
1438b325b56
1521521cc1c
hex13f31f6d0

5355206352 has 160 divisors (see below), whose sum is σ = 16415616000. Its totient is φ = 1667796480.

The previous prime is 5355206341. The next prime is 5355206413. The reversal of 5355206352 is 2536025535.

5355206352 is a `hidden beast` number, since 53 + 55 + 206 + 352 = 666.

It is a super-2 number, since 2×53552063522 = 57356470145002295808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 381474 + ... + 395262.

It is an arithmetic number, because the mean of its divisors is an integer number (102597600).

Almost surely, 25355206352 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 5355206352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8207808000).

5355206352 is an abundant number, since it is smaller than the sum of its proper divisors (11060409648).

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

5355206352 is a wasteful number, since it uses less digits than its factorization.

5355206352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13866 (or 13854 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The square root of 5355206352 is about 73179.2754268584. The cubic root of 5355206352 is about 1749.5461519139.

The spelling of 5355206352 in words is "five billion, three hundred fifty-five million, two hundred six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 31 36 48 54 58 62 72 87 93 108 116 124 144 174 186 216 232 248 261 279 348 372 432 464 496 522 558 696 744 783 837 899 1044 1116 1392 1488 1566 1674 1798 2088 2232 2697 3132 3348 3596 4176 4464 5394 6264 6696 7192 8091 10788 12528 13392 13789 14384 16182 21576 24273 27578 32364 41367 43152 48546 55156 64728 82734 97092 110312 124101 129456 165468 194184 220624 248202 330936 372303 388368 399881 427459 496404 661872 744606 799762 854918 992808 1199643 1282377 1489212 1599524 1709836 1985616 2399286 2564754 2978424 3199048 3419672 3598929 3847131 4798572 5129508 5956848 6398096 6839344 7197858 7694262 9597144 10259016 10796787 11541393 12396311 14395716 15388524 19194288 20518032 21593574 23082786 24792622 28791432 30777048 37188933 43187148 46165572 49585244 57582864 61554096 74377866 86374296 92331144 99170488 111566799 148755732 172748592 184662288 198340976 223133598 297511464 334700397 446267196 595022928 669400794 892534392 1338801588 1785068784 2677603176 5355206352