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10061582745350 = 2521729619765867
BaseRepresentation
bin1001001001101010010100…
…0100001011111100000110
31022121212201000000212000202
42102122211010023330012
52304322110140322400
633222121033010502
72055632254136033
oct222324504137406
938555630025022
1010061582745350
11322a103178094
121166003853a32
1357ca59789806
1426ada9ca438a
15126ad15d74d5
hex926a510bf06

10061582745350 has 96 divisors (see below), whose sum is σ = 20502308170080. Its totient is φ = 3656627394560.

The previous prime is 10061582745311. The next prime is 10061582745353. The reversal of 10061582745350 is 5354728516001.

It is a junction number, because it is equal to n+sod(n) for n = 10061582745295 and 10061582745304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061582745353) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 152723117 + ... + 152788983.

It is an arithmetic number, because the mean of its divisors is an integer number (213565710105).

Almost surely, 210061582745350 is an apocalyptic number.

10061582745350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10061582745350 is an abundant number, since it is smaller than the sum of its proper divisors (10440725424730).

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

10061582745350 is a wasteful number, since it uses less digits than its factorization.

10061582745350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72122 (or 72117 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 47.

The spelling of 10061582745350 in words is "ten trillion, sixty-one billion, five hundred eighty-two million, seven hundred forty-five thousand, three hundred fifty".

Divisors: 1 2 5 10 17 25 29 34 50 58 85 145 170 290 425 493 725 850 986 1450 2465 4930 6197 12325 12394 24650 30985 61970 65867 105349 131734 154925 179713 210698 309850 329335 359426 526745 658670 898565 1053490 1119739 1646675 1797130 1910143 2239478 2633725 3055121 3293350 3820286 4492825 5267450 5598695 6110242 8985650 9550715 11197390 15275605 19101430 27993475 30551210 32472431 47753575 55986950 64944862 76378025 95507150 152756050 162362155 324724310 408177799 811810775 816355598 1623621550 2040888995 4081777990 6939022583 10204444975 11837156171 13878045166 20408889950 23674312342 34695112915 59185780855 69390225830 118371561710 173475564575 201231654907 295928904275 346951129150 402463309814 591857808550 1006158274535 2012316549070 5030791372675 10061582745350