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15166190000 = 245413116663
BaseRepresentation
bin11100001111111100…
…11011000110110000
31110010221212021111202
432013332123012300
5222030021040000
610544532030332
71044555326243
oct160776330660
943127767452
1015166190000
116482a12025
122b331623a8
1315790c6130
14a3c32525a
155db6e0dd5
hex387f9b1b0

15166190000 has 100 divisors (see below), whose sum is σ = 39543729456. Its totient is φ = 5599776000.

The previous prime is 15166189933. The next prime is 15166190057. The reversal of 15166190000 is 9166151.

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

It is a super-2 number, since 2×151661900002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 71669 + ... + 188331.

Almost surely, 215166190000 is an apocalyptic number.

15166190000 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 15166190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19771864728).

15166190000 is an abundant number, since it is smaller than the sum of its proper divisors (24377539456).

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

15166190000 is a wasteful number, since it uses less digits than its factorization.

15166190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116704 (or 116683 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The spelling of 15166190000 in words is "fifteen billion, one hundred sixty-six million, one hundred ninety 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 116663 130000 233326 466652 583315 933304 1166630 1516619 1866608 2333260 2916575 3033238 4666520 5833150 6066476 7583095 9333040 11666300 12132952 14582875 15166190 23332600 24265904 29165750 30332380 37915475 46665200 58331500 60664760 72914375 75830950 116663000 121329520 145828750 151661900 189577375 233326000 291657500 303323800 379154750 583315000 606647600 758309500 947886875 1166630000 1516619000 1895773750 3033238000 3791547500 7583095000 15166190000