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10558117000 = 235329364073
BaseRepresentation
bin10011101010101000…
…00001010010001000
31000020210221220201101
421311110001102020
5133110334221000
64503401031144
7522432341134
oct116524012210
930223856641
1010558117000
114528866632
122067a854b4
13cc3510412
147223263c4
1541bda5e6a
hex275501488

10558117000 has 64 divisors (see below), whose sum is σ = 25557994800. Its totient is φ = 4077606400.

The previous prime is 10558116979. The next prime is 10558117001. The reversal of 10558117000 is 71185501.

It can be written as a sum of positive squares in 8 ways, for example, as 376903396 + 10181213604 = 19414^2 + 100902^2 .

It is a super-2 number, since 2×105581170002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10558117000.

It is not an unprimeable number, because it can be changed into a prime (10558117001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153037 + ... + 211036.

Almost surely, 210558117000 is an apocalyptic number.

10558117000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10558117000 is an abundant number, since it is smaller than the sum of its proper divisors (14999877800).

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

10558117000 is a wasteful number, since it uses less digits than its factorization.

10558117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364123 (or 364109 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 28.

The spelling of 10558117000 in words is "ten billion, five hundred fifty-eight million, one hundred seventeen thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 364073 728146 1456292 1820365 2912584 3640730 7281460 9101825 10558117 14562920 18203650 21116234 36407300 42232468 45509125 52790585 72814600 84464936 91018250 105581170 182036500 211162340 263952925 364073000 422324680 527905850 1055811700 1319764625 2111623400 2639529250 5279058500 10558117000