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5435355552 = 2531119326669
BaseRepresentation
bin1010000111111100…
…01111000110100000
3112000210120200002220
411003332033012200
542112422334202
62255202311040
7251456521434
oct50376170640
915023520086
105435355552
11233a131090
121078358480
136880cba23
14397c2a9c4
1521c2a0abc
hex143f8f1a0

5435355552 has 96 divisors (see below), whose sum is σ = 15646115520. Its totient is φ = 1638481920.

The previous prime is 5435355539. The next prime is 5435355577. The reversal of 5435355552 is 2555535345.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 190474 + ... + 217142.

It is an arithmetic number, because the mean of its divisors is an integer number (162980370).

Almost surely, 25435355552 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 5435355552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823057760).

5435355552 is an abundant number, since it is smaller than the sum of its proper divisors (10210759968).

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

5435355552 is a wasteful number, since it uses less digits than its factorization.

5435355552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26886 (or 26878 counting only the distinct ones).

The product of its digits is 1125000, while the sum is 42.

The square root of 5435355552 is about 73724.8638655915. The cubic root of 5435355552 is about 1758.2312154067.

The spelling of 5435355552 in words is "five billion, four hundred thirty-five million, three hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 193 264 352 386 528 579 772 1056 1158 1544 2123 2316 3088 4246 4632 6176 6369 8492 9264 12738 16984 18528 25476 26669 33968 50952 53338 67936 80007 101904 106676 160014 203808 213352 293359 320028 426704 586718 640056 853408 880077 1173436 1280112 1760154 2346872 2560224 3520308 4693744 5147117 7040616 9387488 10294234 14081232 15441351 20588468 28162464 30882702 41176936 56618287 61765404 82353872 113236574 123530808 164707744 169854861 226473148 247061616 339709722 452946296 494123232 679419444 905892592 1358838888 1811785184 2717677776 5435355552