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15164959120 = 2453743111887
BaseRepresentation
bin11100001111110011…
…01110100110010000
31110010212112202001121
432013321232212100
5222024212142440
610544445412024
71044542011543
oct160771564620
943125482047
1015164959120
116482251273
122b3286a014
131578a84abc
14a3c0c485a
155db54b34a
hex387e6e990

15164959120 has 80 divisors (see below), whose sum is σ = 36298533888. Its totient is φ = 5887848960.

The previous prime is 15164959093. The next prime is 15164959169. The reversal of 15164959120 is 2195946151.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×151649591202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1269817 + ... + 1281703.

Almost surely, 215164959120 is an apocalyptic number.

15164959120 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 15164959120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18149266944).

15164959120 is an abundant number, since it is smaller than the sum of its proper divisors (21133574768).

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

15164959120 is a wasteful number, since it uses less digits than its factorization.

15164959120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12368 (or 12362 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 43.

The spelling of 15164959120 in words is "fifteen billion, one hundred sixty-four million, nine hundred fifty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 431 592 740 862 1480 1724 2155 2960 3448 4310 6896 8620 11887 15947 17240 23774 31894 34480 47548 59435 63788 79735 95096 118870 127576 159470 190192 237740 255152 318940 439819 475480 637880 879638 950960 1275760 1759276 2199095 3518552 4398190 5123297 7037104 8796380 10246594 17592760 20493188 25616485 35185520 40986376 51232970 81972752 102465940 189561989 204931880 379123978 409863760 758247956 947809945 1516495912 1895619890 3032991824 3791239780 7582479560 15164959120