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661036248695664 = 243217270031147343
BaseRepresentation
bin1001011001001101010111111…
…0110010011000001101110000
310012200112110002202000122112100
42112103111332302120031300
51143120404214131230124
610301523505500500400
7256144202322052242
oct22623257662301560
93180473082018470
10661036248695664
11181698998233566
126218130624a700
13224b05b248b59a
14b93447a2c2092
15516510a9c11c9
hex259357ec98370

661036248695664 has 60 divisors (see below), whose sum is σ = 1958805942833376. Its totient is φ = 207383921158656.

The previous prime is 661036248695651. The next prime is 661036248695699. The reversal of 661036248695664 is 466596842630166.

661036248695664 is a `hidden beast` number, since 6 + 6 + 1 + 0 + 36 + 2 + 486 + 9 + 56 + 64 = 666.

661036248695664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 661036248695592 and 661036248695601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135015571224 + ... + 135015576119.

Almost surely, 2661036248695664 is an apocalyptic number.

It is an amenable number.

661036248695664 is an abundant number, since it is smaller than the sum of its proper divisors (1297769694137712).

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

661036248695664 is a wasteful number, since it uses less digits than its factorization.

661036248695664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270031147374 (or 270031147365 counting only the distinct ones).

The product of its (nonzero) digits is 1612431360, while the sum is 72.

The spelling of 661036248695664 in words is "six hundred sixty-one trillion, thirty-six billion, two hundred forty-eight million, six hundred ninety-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 270031147343 540062294686 810093442029 1080124589372 1620186884058 2160249178744 2430280326087 3240373768116 4320498357488 4590529504831 4860560652174 6480747536232 9181059009662 9721121304348 12961495072464 13771588514493 18362118019324 19442242608696 27543177028986 36724236038648 38884485217392 41314765543479 55086354057972 73448472077296 82629531086958 110172708115944 165259062173916 220345416231888 330518124347832 661036248695664