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116156982720 = 2635239506263
BaseRepresentation
bin110110000101101111…
…1101110010111000000
3102002211011212002212010
41230023133232113000
53400342141421340
6125210051132520
711251323030252
oct1541337562700
9362734762763
10116156982720
1145297652389
121a6188a4140
13ac51c6ac4c
14589cbb7cd2
15304c8ddb80
hex1b0b7ee5c0

116156982720 has 112 divisors (see below), whose sum is σ = 370342241280. Its totient is φ = 30845531136.

The previous prime is 116156982659. The next prime is 116156982727. The reversal of 116156982720 is 27289651611.

It is a happy number.

116156982720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1161569827202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 116156982720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116156982727) 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, 23692 + ... + 482571.

Almost surely, 2116156982720 is an apocalyptic number.

116156982720 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 116156982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185171120640).

116156982720 is an abundant number, since it is smaller than the sum of its proper divisors (254185258560).

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

116156982720 is a wasteful number, since it uses less digits than its factorization.

116156982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506522 (or 506512 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 116156982720 in words is "one hundred sixteen billion, one hundred fifty-six million, nine hundred eighty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 239 240 320 478 480 717 956 960 1195 1434 1912 2390 2868 3585 3824 4780 5736 7170 7648 9560 11472 14340 15296 19120 22944 28680 38240 45888 57360 76480 114720 229440 506263 1012526 1518789 2025052 2531315 3037578 4050104 5062630 6075156 7593945 8100208 10125260 12150312 15187890 16200416 20250520 24300624 30375780 32400832 40501040 48601248 60751560 81002080 97202496 120996857 121503120 162004160 241993714 243006240 362990571 483987428 486012480 604984285 725981142 967974856 1209968570 1451962284 1814952855 1935949712 2419937140 2903924568 3629905710 3871899424 4839874280 5807849136 7259811420 7743798848 9679748560 11615698272 14519622840 19359497120 23231396544 29039245680 38718994240 58078491360 116156982720