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11612253444 = 22311178362347
BaseRepresentation
bin10101101000010010…
…01110110100000100
31002222021111121001220
422310021032310010
5142240214102234
65200134520340
7560522345211
oct126411166404
932867447056
1011612253444
114a198a5980
122300b060b0
131130a236ac
147c2326b08
1547e6cca49
hex2b424ed04

11612253444 has 96 divisors (see below), whose sum is σ = 31674779136. Its totient is φ = 3271918080.

The previous prime is 11612253439. The next prime is 11612253449. The reversal of 11612253444 is 44435221611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11612253439) and next prime (11612253449).

It is a super-2 number, since 2×116122534442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11612253449) 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, 155079 + ... + 217425.

It is an arithmetic number, because the mean of its divisors is an integer number (329945616).

Almost surely, 211612253444 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 11612253444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15837389568).

11612253444 is an abundant number, since it is smaller than the sum of its proper divisors (20062525692).

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

11612253444 is a wasteful number, since it uses less digits than its factorization.

11612253444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62465 (or 62463 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The spelling of 11612253444 in words is "eleven billion, six hundred twelve million, two hundred fifty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 83 102 132 166 187 204 249 332 374 498 561 748 913 996 1122 1411 1826 2244 2739 2822 3652 4233 5478 5644 8466 10956 15521 16932 31042 46563 62084 62347 93126 124694 186252 187041 249388 374082 685817 748164 1059899 1371634 2057451 2119798 2743268 3179697 4114902 4239596 5174801 6359394 8229804 10349602 11658889 12718788 15524403 20699204 23317778 31048806 34976667 46635556 56922811 62097612 69953334 87971617 113845622 139906668 170768433 175943234 227691244 263914851 341536866 351886468 527829702 683073732 967687787 1055659404 1935375574 2903063361 3870751148 5806126722 11612253444