Search a number
-
+
74002111110 = 2345313291887
BaseRepresentation
bin100010011101011011…
…1101001101010000110
321002000100000202020000
41010322313221222012
52203024020023420
653555054022130
75226561365034
oct1047267515206
9232010022200
1074002111110
1129425298414
12124131a7946
136c94627c35
143820359554
151dd1b51690
hex113ade9a86

74002111110 has 80 divisors (see below), whose sum is σ = 199619868096. Its totient is φ = 19670781312.

The previous prime is 74002111049. The next prime is 74002111111. The reversal of 74002111110 is 1111120047.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74002111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107587 + ... + 399473.

Almost surely, 274002111110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74002111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99809934048).

74002111110 is an abundant number, since it is smaller than the sum of its proper divisors (125617756986).

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

74002111110 is a wasteful number, since it uses less digits than its factorization.

74002111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292219 (or 292210 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 74002111110 its reverse (1111120047), we get a palindrome (75113231157).

The spelling of 74002111110 in words is "seventy-four billion, two million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 313 405 626 810 939 1565 1878 2817 3130 4695 5634 8451 9390 14085 16902 25353 28170 42255 50706 84510 126765 253530 291887 583774 875661 1459435 1751322 2626983 2918870 4378305 5253966 7880949 8756610 13134915 15761898 23642847 26269830 39404745 47285694 78809490 91360631 118214235 182721262 236428470 274081893 456803155 548163786 822245679 913606310 1370409465 1644491358 2466737037 2740818930 4111228395 4933474074 7400211111 8222456790 12333685185 14800422222 24667370370 37001055555 74002111110