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10539010000 = 24547314437
BaseRepresentation
bin10011101000010110…
…01000011111010000
31000012111000011211201
421310023020133100
5133040441310000
64501435320544
7522111051451
oct116413103720
930174004751
1010539010000
114518aa6222
1220615b0154
13cbc5805bc
1471d991128
1541a37e96a
hex2742c87d0

10539010000 has 100 divisors (see below), whose sum is σ = 25867322932. Its totient is φ = 4157568000.

The previous prime is 10539009983. The next prime is 10539010049. The reversal of 10539010000 is 1093501.

It can be written as a sum of positive squares in 10 ways, for example, as 7796183616 + 2742826384 = 88296^2 + 52372^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×105390100002 (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 10539010000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 722782 + ... + 737218.

Almost surely, 210539010000 is an apocalyptic number.

10539010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10539010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12933661466).

10539010000 is an abundant number, since it is smaller than the sum of its proper divisors (15328312932).

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

10539010000 is an equidigital number, since it uses as much as digits as its factorization.

10539010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14538 (or 14517 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 19.

The spelling of 10539010000 in words is "ten billion, five hundred thirty-nine million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 625 730 1000 1168 1250 1460 1825 2000 2500 2920 3650 5000 5840 7300 9125 10000 14437 14600 18250 28874 29200 36500 45625 57748 72185 73000 91250 115496 144370 146000 182500 230992 288740 360925 365000 577480 721850 730000 1053901 1154960 1443700 1804625 2107802 2887400 3609250 4215604 5269505 5774800 7218500 8431208 9023125 10539010 14437000 16862416 18046250 21078020 26347525 28874000 36092500 42156040 52695050 72185000 84312080 105390100 131737625 144370000 210780200 263475250 421560400 526950500 658688125 1053901000 1317376250 2107802000 2634752500 5269505000 10539010000