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1613717112 = 2337173715271
BaseRepresentation
bin110000000101111…
…0101111001111000
311011110111022201110
41200023311321320
511301102421422
6424043320320
754663240420
oct14013657170
94143438643
101613717112
117589a0607
123905200a0
131c94294c7
14114465480
1596a0d60c
hex602f5e78

1613717112 has 128 divisors (see below), whose sum is σ = 5014103040. Its totient is φ = 422184960.

The previous prime is 1613717087. The next prime is 1613717113. The reversal of 1613717112 is 2117173161.

1613717112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1613717112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1613717113) 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, 98037 + ... + 113307.

It is an arithmetic number, because the mean of its divisors is an integer number (39172680).

Almost surely, 21613717112 is an apocalyptic number.

1613717112 is a gapful number since it is divisible by the number (12) 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 1613717112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507051520).

1613717112 is an abundant number, since it is smaller than the sum of its proper divisors (3400385928).

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

1613717112 is a wasteful number, since it uses less digits than its factorization.

1613717112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15341 (or 15337 counting only the distinct ones).

The product of its digits is 1764, while the sum is 30.

The square root of 1613717112 is about 40171.0979685644. The cubic root of 1613717112 is about 1172.9400120057.

The spelling of 1613717112 in words is "one billion, six hundred thirteen million, seven hundred seventeen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 37 42 51 56 68 74 84 102 111 119 136 148 168 204 222 238 259 296 357 408 444 476 518 629 714 777 888 952 1036 1258 1428 1554 1887 2072 2516 2856 3108 3774 4403 5032 6216 7548 8806 13209 15096 15271 17612 26418 30542 35224 45813 52836 61084 91626 105672 106897 122168 183252 213794 259607 320691 366504 427588 519214 565027 641382 778821 855176 1038428 1130054 1282764 1557642 1695081 1817249 2076856 2260108 2565528 3115284 3390162 3634498 3955189 4520216 5451747 6230568 6780324 7268996 7910378 9605459 10903494 11865567 13560648 14537992 15820756 19210918 21806988 23731134 28816377 31641512 38421836 43613976 47462268 57632754 67238213 76843672 94924536 115265508 134476426 201714639 230531016 268952852 403429278 537905704 806858556 1613717112