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31355077832 = 23133716934813
BaseRepresentation
bin11101001100111010…
…001000010011001000
32222221012002222200222
4131030322020103020
51003203344442312
622223200045212
72160002523041
oct351472102310
988835088628
1031355077832
1112330140071
1260b0903808
132c590457c0
1417363c58c8
15c37a98672
hex74ce884c8

31355077832 has 64 divisors (see below), whose sum is σ = 65076229680. Its totient is φ = 14069210112.

The previous prime is 31355077829. The next prime is 31355077837. The reversal of 31355077832 is 23877055313.

It can be written as a sum of positive squares in 8 ways, for example, as 18866121316 + 12488956516 = 137354^2 + 111754^2 .

It is not an unprimeable number, because it can be changed into a prime (31355077837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6512258 + ... + 6517070.

Almost surely, 231355077832 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 31355077832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32538114840).

31355077832 is an abundant number, since it is smaller than the sum of its proper divisors (33721151848).

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

31355077832 is a wasteful number, since it uses less digits than its factorization.

31355077832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562 (or 6558 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 44.

The spelling of 31355077832 in words is "thirty-one billion, three hundred fifty-five million, seventy-seven thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1693 1924 3386 3848 4813 6772 9626 13544 19252 22009 38504 44018 62569 62641 88036 125138 125282 176072 178081 250276 250564 356162 500552 501128 712324 814333 1424648 1628666 2315053 3257332 4630106 6514664 8148409 9260212 16296818 18520424 32593636 65187272 105929317 211858634 301491133 423717268 602982266 847434536 1205964532 2411929064 3919384729 7838769458 15677538916 31355077832