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657006200034 = 231923730934283
BaseRepresentation
bin10011000111110001001…
…11110000010011100010
32022210211220002001202020
421203320213300103202
541231022041400114
61221454031002310
765316140361642
oct11437047602342
92283756061666
10657006200034
112336a8965408
12a73ba069396
1349c56094212
1423b292a6522
1512154853aa9
hex98f89f04e2

657006200034 has 64 divisors (see below), whose sum is σ = 1443548390400. Its totient is φ = 198422021952.

The previous prime is 657006199957. The next prime is 657006200047. The reversal of 657006200034 is 430002600756.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 657006199968 and 657006200004.

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 31 ways as a sum of consecutive naturals, for example, 19147057 + ... + 19181339.

It is an arithmetic number, because the mean of its divisors is an integer number (22555443600).

Almost surely, 2657006200034 is an apocalyptic number.

657006200034 is an abundant number, since it is smaller than the sum of its proper divisors (786542190366).

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

657006200034 is a wasteful number, since it uses less digits than its factorization.

657006200034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41639.

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 657006200034 in words is "six hundred fifty-seven billion, six million, two hundred thousand, thirty-four".

Divisors: 1 2 3 6 19 23 38 46 57 69 114 138 437 874 1311 2622 7309 14618 21927 34283 43854 68566 102849 138871 168107 205698 277742 336214 416613 504321 651377 788509 833226 1008642 1302754 1577018 1954131 2365527 3194033 3908262 4731054 6388066 9582099 14981671 19164198 29963342 44945013 89890026 250574447 501148894 751723341 1503446682 4760914493 5763212281 9521828986 11526424562 14282743479 17289636843 28565486958 34579273686 109501033339 219002066678 328503100017 657006200034