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252197948046 = 231137103275163
BaseRepresentation
bin1110101011100000101…
…0110100101010001110
3220002222002221012000110
43222320022310222032
513113000133314141
6311505205140450
724135462121362
oct3527012645216
9802862835013
10252197948046
1197a58192140
1240a646ba726
131aa22552575
14c2c66b72a2
156860c7ce16
hex3ab82b4a8e

252197948046 has 32 divisors (see below), whose sum is σ = 565121697408. Its totient is φ = 74358116640.

The previous prime is 252197947999. The next prime is 252197948077. The reversal of 252197948046 is 640849791252.

252197948046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2521979480462 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51635140 + ... + 51640023.

It is an arithmetic number, because the mean of its divisors is an integer number (17660053044).

Almost surely, 2252197948046 is an apocalyptic number.

252197948046 is an abundant number, since it is smaller than the sum of its proper divisors (312923749362).

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

252197948046 is a wasteful number, since it uses less digits than its factorization.

252197948046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103275216.

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 252197948046 in words is "two hundred fifty-two billion, one hundred ninety-seven million, nine hundred forty-eight thousand, forty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 103275163 206550326 309825489 619650978 1136026793 2272053586 3408080379 3821181031 6816160758 7642362062 11463543093 22927086186 42032991341 84065982682 126098974023 252197948046