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11170040952 = 2337593493229
BaseRepresentation
bin10100110011100100…
…10100110001111000
31001211110101212120110
422121302110301320
5140334012302302
65044220424320
7543542532030
oct123162246170
931743355513
1011170040952
114812219104
1221b89a80a0
1310902224b5
1477d6d48c0
1545597bb6c
hex299c94c78

11170040952 has 128 divisors (see below), whose sum is σ = 32558400000. Its totient is φ = 3127389696.

The previous prime is 11170040951. The next prime is 11170040953. The reversal of 11170040952 is 25904007111.

It is an interprime number because it is at equal distance from previous prime (11170040951) and next prime (11170040953).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11170040951) 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, 3457674 + ... + 3460902.

It is an arithmetic number, because the mean of its divisors is an integer number (254362500).

Almost surely, 211170040952 is an apocalyptic number.

11170040952 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 11170040952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16279200000).

11170040952 is an abundant number, since it is smaller than the sum of its proper divisors (21388359048).

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

11170040952 is a wasteful number, since it uses less digits than its factorization.

11170040952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 11170040952 in words is "eleven billion, one hundred seventy million, forty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 349 354 413 472 698 708 826 1047 1239 1396 1416 1652 2094 2443 2478 2792 3229 3304 4188 4886 4956 6458 7329 8376 9687 9772 9912 12916 14658 19374 19544 20591 22603 25832 29316 38748 41182 45206 58632 61773 67809 77496 82364 90412 123546 135618 144137 164728 180824 190511 247092 271236 288274 381022 432411 494184 542472 571533 576548 762044 864822 1126921 1143066 1153096 1333577 1524088 1729644 2253842 2286132 2667154 3380763 3459288 4000731 4507684 4572264 5334308 6761526 7888447 8001462 9015368 10668616 13523052 15776894 16002924 23665341 27046104 31553788 32005848 47330682 63107576 66488339 94661364 132976678 189322728 199465017 265953356 398930034 465418373 531906712 797860068 930836746 1396255119 1595720136 1861673492 2792510238 3723346984 5585020476 11170040952