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6113150160 = 2435139472069
BaseRepresentation
bin1011011000101111…
…10100010011010000
3120210000222012111220
411230113310103100
5100004431301120
62450334005040
7304326630135
oct55427642320
916700865456
106113150160
112657794217
121227346780
13765664c20
1441dc6458c
1525ba38b40
hex16c5f44d0

6113150160 has 160 divisors (see below), whose sum is σ = 20439941760. Its totient is φ = 1502459904.

The previous prime is 6113150137. The next prime is 6113150161. The reversal of 6113150160 is 610513116.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6113150160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6113150161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2953606 + ... + 2955674.

It is an arithmetic number, because the mean of its divisors is an integer number (127749636).

Almost surely, 26113150160 is an apocalyptic number.

6113150160 is a gapful number since it is divisible by the number (60) 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 6113150160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10219970880).

6113150160 is an abundant number, since it is smaller than the sum of its proper divisors (14326791600).

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

6113150160 is a wasteful number, since it uses less digits than its factorization.

6113150160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 6113150160 is about 78186.6367098624. The cubic root of 6113150160 is about 1828.4721698121.

Adding to 6113150160 its reverse (610513116), we get a palindrome (6723663276).

The spelling of 6113150160 in words is "six billion, one hundred thirteen million, one hundred fifty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 947 1040 1560 1894 2069 2841 3120 3788 4138 4735 5682 6207 7576 8276 9470 10345 11364 12311 12414 14205 15152 16552 18940 20690 22728 24622 24828 26897 28410 31035 33104 36933 37880 41380 45456 49244 49656 53794 56820 61555 62070 73866 75760 80691 82760 98488 99312 107588 113640 123110 124140 134485 147732 161382 165520 184665 196976 215176 227280 246220 248280 268970 295464 322764 369330 403455 430352 492440 496560 537940 590928 645528 738660 806910 984880 1075880 1291056 1477320 1613820 1959343 2151760 2954640 3227640 3918686 5878029 6455280 7837372 9796715 11756058 15674744 19593430 23512116 25471459 29390145 31349488 39186860 47024232 50942918 58780290 76414377 78373720 94048464 101885836 117560580 127357295 152828754 156747440 203771672 235121160 254714590 305657508 382071885 407543344 470242320 509429180 611315016 764143770 1018858360 1222630032 1528287540 2037716720 3056575080 6113150160