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115871142160 = 24573101919471
BaseRepresentation
bin110101111101001110…
…1010101000100010000
3102002002020222220022201
41223322131111010100
53344301003022120
6125121440412544
711241252312664
oct1537235250420
9362066886281
10115871142160
114516026a114
121a559017154
13ac0798a017
145872c4c8a4
15303277a40a
hex1afa755110

115871142160 has 80 divisors (see below), whose sum is σ = 273372860160. Its totient is φ = 45666339840.

The previous prime is 115871142137. The next prime is 115871142169. The reversal of 115871142160 is 61241178511.

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

It is a super-2 number, since 2×1158711421602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115871142169) 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, 5941225 + ... + 5960695.

It is an arithmetic number, because the mean of its divisors is an integer number (3417160752).

Almost surely, 2115871142160 is an apocalyptic number.

115871142160 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 115871142160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136686430080).

115871142160 is an abundant number, since it is smaller than the sum of its proper divisors (157501718000).

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

115871142160 is a wasteful number, since it uses less digits than its factorization.

115871142160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20576 (or 20570 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 37.

The spelling of 115871142160 in words is "one hundred fifteen billion, eight hundred seventy-one million, one hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1019 1168 1460 2038 2920 4076 5095 5840 8152 10190 16304 19471 20380 38942 40760 74387 77884 81520 97355 148774 155768 194710 297548 311536 371935 389420 595096 743870 778840 1190192 1421383 1487740 1557680 2842766 2975480 5685532 5950960 7106915 11371064 14213830 19840949 22742128 28427660 39681898 56855320 79363796 99204745 113710640 158727592 198409490 317455184 396818980 793637960 1448389277 1587275920 2896778554 5793557108 7241946385 11587114216 14483892770 23174228432 28967785540 57935571080 115871142160