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35832112196049 = 321321534872
BaseRepresentation
bin10000010010110110100000…
…10100011010100111010001
311200212111221111201012112100
420021123100110122213101
514144033131210233144
6204113013423551013
710355533100203251
oct1011332024324721
9150774844635470
1035832112196049
111046534a214504
124028605a5b469
1316cbc52313100
148bc3d7c45961
1542211ea8c269
hex2096d051a9d1

35832112196049 has 27 divisors (see below), whose sum is σ = 56045463711003. Its totient is φ = 22050386918352.

The previous prime is 35832112195993. The next prime is 35832112196051. The reversal of 35832112196049 is 94069121123853.

The square root of 35832112196049 is 5985993.

It is a perfect power (a square), and thus also a powerful number.

35832112196049 is a `hidden beast` number, since 3 + 5 + 8 + 3 + 2 + 1 + 1 + 21 + 9 + 604 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5300608313025 + 30531503883024 = 2302305^2 + 5525532^2 .

It is not a de Polignac number, because 35832112196049 - 211 = 35832112194001 is a prime.

It is a super-2 number, since 2×358321121960492 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35832112195986 and 35832112196004.

It is not an unprimeable number, because it can be changed into a prime (35832112195049) 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 26 ways as a sum of consecutive naturals, for example, 233376984 + ... + 233530470.

Almost surely, 235832112196049 is an apocalyptic number.

35832112196049 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

35832112196049 is the 5985993-rd square number.

35832112196049 is the 2992997-th centered octagonal number.

It is an amenable number.

35832112196049 is a deficient number, since it is larger than the sum of its proper divisors (20213351514954).

35832112196049 is an frugal number, since it uses more digits than its factorization.

35832112196049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307006 (or 153503 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 35832112196049 in words is "thirty-five trillion, eight hundred thirty-two billion, one hundred twelve million, one hundred ninety-six thousand, forty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 153487 460461 1381383 1995331 5985993 17957979 25939303 77817909 233453727 23558259169 70674777507 212024332521 306257369197 918772107591 2756316322773 3981345799561 11944037398683 35832112196049