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632341687860 = 223253513009377
BaseRepresentation
bin10010011001110101000…
…00000110111000110100
32020110011222110000201100
421030322200012320310
540330013433002420
61202254352530100
763454005443121
oct11147240067064
92213158400640
10632341687860
112241a1441353
12a2675b50930
134782520260c
14228696cd748
15116ae350190
hex933a806e34

632341687860 has 36 divisors (see below), whose sum is σ = 1918103120388. Its totient is φ = 168624450048.

The previous prime is 632341687837. The next prime is 632341687903. The reversal of 632341687860 is 68786143236.

It can be written as a sum of positive squares in 2 ways, for example, as 485226482724 + 147115205136 = 696582^2 + 383556^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 632341687797 and 632341687806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1756504509 + ... + 1756504868.

It is an arithmetic number, because the mean of its divisors is an integer number (53280642233).

Almost surely, 2632341687860 is an apocalyptic number.

632341687860 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

632341687860 is an abundant number, since it is smaller than the sum of its proper divisors (1285761432528).

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

632341687860 is a wasteful number, since it uses less digits than its factorization.

632341687860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513009392 (or 3513009387 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

It can be divided in two parts, 632341 and 687860, that added together give a square (1320201 = 11492).

The spelling of 632341687860 in words is "six hundred thirty-two billion, three hundred forty-one million, six hundred eighty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3513009377 7026018754 10539028131 14052037508 17565046885 21078056262 31617084393 35130093770 42156112524 52695140655 63234168786 70260187540 105390281310 126468337572 158085421965 210780562620 316170843930 632341687860