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11427670002 = 237372233853
BaseRepresentation
bin10101010010010010…
…00110011111110010
31002111102011210012010
422221021012133302
5141400440420002
65125542343350
7553121410110
oct125111063762
932442153163
1011427670002
114934692681
12226b12ab56
131101706518
147a59d8ab0
1546d3bb46c
hex2a92467f2

11427670002 has 96 divisors (see below), whose sum is σ = 26992248192. Its totient is φ = 3159461376.

The previous prime is 11427669997. The next prime is 11427670031. The reversal of 11427670002 is 20007672411.

11427670002 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 2×114276700022 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13396608 + ... + 13397460.

It is an arithmetic number, because the mean of its divisors is an integer number (281169252).

Almost surely, 211427670002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11427670002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13496124096).

11427670002 is an abundant number, since it is smaller than the sum of its proper divisors (15564578190).

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

11427670002 is a wasteful number, since it uses less digits than its factorization.

11427670002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The spelling of 11427670002 in words is "eleven billion, four hundred twenty-seven million, six hundred seventy thousand, two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 233 259 466 518 699 777 853 1369 1398 1554 1631 1706 2559 2738 3262 4107 4893 5118 5971 8214 8621 9583 9786 11942 17242 17913 19166 25863 28749 31561 35826 51726 57498 60347 63122 94683 120694 181041 189366 198749 220927 318977 362082 397498 441854 596247 637954 662781 956931 1167757 1192494 1325562 1391243 1913862 2232839 2335514 2782486 3503271 4173729 4465678 6698517 7006542 7353713 8174299 8347458 13397034 14707426 16348598 22061139 24522897 44122278 49045794 51475991 102951982 154427973 272087381 308855946 544174762 816262143 1632524286 1904611667 3809223334 5713835001 11427670002