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11620642752 = 26338381023
BaseRepresentation
bin10101101001010010…
…01110111111000000
31002222212021211001000
422310221032333000
5142244341032002
65201034412000
7560653555635
oct126451167700
932885254030
1011620642752
114a23605994
122303891000
1311326a0094
147c34ac18c
154802d861c
hex2b4a4efc0

11620642752 has 112 divisors (see below), whose sum is σ = 34574561280. Its totient is φ = 3826831104.

The previous prime is 11620642741. The next prime is 11620642753. The reversal of 11620642752 is 25724602611.

It is a happy number.

11620642752 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 0 + 642 + 7 + 5 + 2 = 666.

11620642752 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-2 number, since 2×116206427522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11620642753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102913 + ... + 183935.

It is an arithmetic number, because the mean of its divisors is an integer number (308701440).

Almost surely, 211620642752 is an apocalyptic number.

11620642752 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 11620642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17287280640).

11620642752 is an abundant number, since it is smaller than the sum of its proper divisors (22953918528).

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

11620642752 is an equidigital number, since it uses as much as digits as its factorization.

11620642752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81127 (or 81111 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11620642752 in words is "eleven billion, six hundred twenty million, six hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 144 166 192 216 249 288 332 432 498 576 664 747 864 996 1328 1494 1728 1992 2241 2656 2988 3984 4482 5312 5976 7968 8964 11952 15936 17928 23904 35856 47808 71712 81023 143424 162046 243069 324092 486138 648184 729207 972276 1296368 1458414 1944552 2187621 2592736 2916828 3889104 4375242 5185472 5833656 6724909 7778208 8750484 11667312 13449818 15556416 17500968 20174727 23334624 26899636 35001936 40349454 46669248 53799272 60524181 70003872 80698908 107598544 121048362 140007744 161397816 181572543 215197088 242096724 322795632 363145086 430394176 484193448 645591264 726290172 968386896 1291182528 1452580344 1936773792 2905160688 3873547584 5810321376 11620642752