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10064543105253 = 3713712112460881
BaseRepresentation
bin1001001001110101010110…
…0001000100000011100101
31022122011100022110201101010
42102131111201010003211
52304344141013332003
633223330503452433
72056065521602650
oct222352541040345
938564308421333
1010064543105253
11323039222331a
1211666ab157119
1358010bba2270
1426b1ab10c897
15126c0644b003
hex927558440e5

10064543105253 has 64 divisors (see below), whose sum is σ = 16828180475904. Its totient is φ = 5209190784000.

The previous prime is 10064543105237. The next prime is 10064543105317. The reversal of 10064543105253 is 35250134546001.

It is a happy number.

It is not a de Polignac number, because 10064543105253 - 24 = 10064543105237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10064543105453) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2859373 + ... + 5320253.

It is an arithmetic number, because the mean of its divisors is an integer number (262940319936).

Almost surely, 210064543105253 is an apocalyptic number.

10064543105253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10064543105253 is a deficient number, since it is larger than the sum of its proper divisors (6763637370651).

10064543105253 is a wasteful number, since it uses less digits than its factorization.

10064543105253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461186.

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 10064543105253 in words is "ten trillion, sixty-four billion, five hundred forty-three million, one hundred five thousand, two hundred fifty-three".

Divisors: 1 3 7 13 21 39 71 91 211 213 273 497 633 923 1477 1491 2743 2769 4431 6461 8229 14981 19201 19383 44943 57603 104867 194753 314601 584259 1363271 2460881 4089813 7382643 17226167 31991453 51678501 95974359 174722551 223940171 519245891 524167653 671820513 1223057857 1557737673 2271393163 3634721237 3669173571 6750196583 6814179489 10904163711 15899752141 20250589749 36866458261 47251376081 47699256423 110599374783 141754128243 258065207827 479263957393 774195623481 1437791872179 3354847701751 10064543105253