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11348624778316 = 22719211643157231
BaseRepresentation
bin1010010100100100111010…
…1111111010010001001100
31111011220210011200101011221
42211021032233322101030
52441413440420401231
640045253010253124
72250624333666040
oct245111657722114
944156704611157
1011348624778316
113685a19913911
1213335335871a4
1364422b10b227
142b33c2506020
1514a30cb0ed11
hexa524ebfa44c

11348624778316 has 96 divisors (see below), whose sum is σ = 24042558955520. Its totient is φ = 4578713697600.

The previous prime is 11348624778313. The next prime is 11348624778317. The reversal of 11348624778316 is 61387742684311.

11348624778316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×113486247783163 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11348624778313) 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, 72099421 + ... + 72256651.

Almost surely, 211348624778316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11348624778316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12021279477760).

11348624778316 is an abundant number, since it is smaller than the sum of its proper divisors (12693934177204).

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

11348624778316 is a wasteful number, since it uses less digits than its factorization.

11348624778316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158115 (or 158113 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 61.

The spelling of 11348624778316 in words is "eleven trillion, three hundred forty-eight billion, six hundred twenty-four million, seven hundred seventy-eight thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 76 133 211 266 422 532 643 844 1286 1477 2572 2954 4009 4501 5908 8018 9002 12217 16036 18004 24434 28063 48868 56126 85519 112252 135673 157231 171038 271346 314462 342076 542692 628924 949711 1100617 1899422 2201234 2577787 2987389 3798844 4402468 5155574 5974778 10311148 11949556 18044509 20911723 33175741 36089018 41823446 66351482 72178036 83646892 101099533 132702964 202199066 232230187 404398132 464460374 630339079 707696731 928920748 1260678158 1415393462 1920891127 2521356316 2830786924 3841782254 4412373553 7683564508 8824747106 13446237889 17649494212 21332001463 26892475778 42664002926 53784951556 85328005852 149324010241 298648020482 405308027797 597296040964 810616055594 1621232111188 2837156194579 5674312389158 11348624778316