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15051010000 = 245413115777
BaseRepresentation
bin11100000010001110…
…00010111111010000
31102211221010112020211
432001013002333100
5221311024310000
610525255213504
71041656321425
oct160107027720
942757115224
1015051010000
1164239a2644
122b00677294
13155b2990a0
14a2ad01d4c
155d153d7ba
hex3811c2fd0

15051010000 has 100 divisors (see below), whose sum is σ = 39243416212. Its totient is φ = 5557248000.

The previous prime is 15051009983. The next prime is 15051010031. The reversal of 15051010000 is 1015051.

It can be written as a sum of positive squares in 10 ways, for example, as 14968054336 + 82955664 = 122344^2 + 9108^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 72112 + ... + 187888.

Almost surely, 215051010000 is an apocalyptic number.

15051010000 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 15051010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19621708106).

15051010000 is an abundant number, since it is smaller than the sum of its proper divisors (24192406212).

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

15051010000 is a wasteful number, since it uses less digits than its factorization.

15051010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115818 (or 115797 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

Adding to 15051010000 its reverse (1015051), we get a palindrome (15052025051).

The spelling of 15051010000 in words is "fifteen billion, fifty-one million, ten thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 115777 130000 231554 463108 578885 926216 1157770 1505101 1852432 2315540 2894425 3010202 4631080 5788850 6020404 7525505 9262160 11577700 12040808 14472125 15051010 23155400 24081616 28944250 30102020 37627525 46310800 57888500 60204040 72360625 75255050 115777000 120408080 144721250 150510100 188137625 231554000 289442500 301020200 376275250 578885000 602040400 752550500 940688125 1157770000 1505101000 1881376250 3010202000 3762752500 7525505000 15051010000