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11372809392 = 2432717963031
BaseRepresentation
bin10101001011101111…
…10100110010110000
31002100120221120120200
422211313310302300
5141242414400032
65120302435200
7551554166460
oct124567646260
932316846520
1011372809392
11490672202a
122254892b00
1310c3238919
1479c5d7ba0
1546868147c
hex2a5df4cb0

11372809392 has 120 divisors (see below), whose sum is σ = 36578730240. Its totient is φ = 3231169920.

The previous prime is 11372809387. The next prime is 11372809397. The reversal of 11372809392 is 29390827311.

11372809392 is a `hidden beast` number, since 113 + 72 + 80 + 9 + 392 = 666.

It is an interprime number because it is at equal distance from previous prime (11372809387) and next prime (11372809397).

It is not an unprimeable number, because it can be changed into a prime (11372809397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148917 + ... + 211947.

It is an arithmetic number, because the mean of its divisors is an integer number (304822752).

Almost surely, 211372809392 is an apocalyptic number.

11372809392 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 11372809392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289365120).

11372809392 is an abundant number, since it is smaller than the sum of its proper divisors (25205920848).

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

11372809392 is a wasteful number, since it uses less digits than its factorization.

11372809392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63231 (or 63222 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 11372809392 in words is "eleven billion, three hundred seventy-two million, eight hundred nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 179 252 336 358 504 537 716 1008 1074 1253 1432 1611 2148 2506 2864 3222 3759 4296 5012 6444 7518 8592 10024 11277 12888 15036 20048 22554 25776 30072 45108 60144 63031 90216 126062 180432 189093 252124 378186 441217 504248 567279 756372 882434 1008496 1134558 1323651 1512744 1764868 2269116 2647302 3025488 3529736 3970953 4538232 5294604 7059472 7941906 9076464 10589208 11282549 15883812 21178416 22565098 31767624 33847647 45130196 63535248 67695294 78977843 90260392 101542941 135390588 157955686 180520784 203085882 236933529 270781176 315911372 406171764 473867058 541562352 631822744 710800587 812343528 947734116 1263645488 1421601174 1624687056 1895468232 2843202348 3790936464 5686404696 11372809392