Search a number
-
+
11178900072 = 23363315791
BaseRepresentation
bin10100110100101000…
…00111101001101000
31001212002001222000000
422122110013221220
5140343244300242
65045134343000
7544011040254
oct123224075150
931762058000
1011178900072
11481721a09a
1221bb95aa60
131092004992
1478095d264
1545662ba4c
hex29a507a68

11178900072 has 112 divisors (see below), whose sum is σ = 31526666880. Its totient is φ = 3714400800.

The previous prime is 11178900053. The next prime is 11178900113. The reversal of 11178900072 is 27000987111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1927497 + ... + 1933287.

Almost surely, 211178900072 is an apocalyptic number.

11178900072 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 11178900072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15763333440).

11178900072 is an abundant number, since it is smaller than the sum of its proper divisors (20347766808).

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

11178900072 is an equidigital number, since it uses as much as digits as its factorization.

11178900072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146 (or 6127 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The spelling of 11178900072 in words is "eleven billion, one hundred seventy-eight million, nine hundred thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 331 486 648 662 729 972 993 1324 1458 1944 1986 2648 2916 2979 3972 5791 5832 5958 7944 8937 11582 11916 17373 17874 23164 23832 26811 34746 35748 46328 52119 53622 69492 71496 80433 104238 107244 138984 156357 160866 208476 214488 241299 312714 321732 416952 469071 482598 625428 643464 938142 965196 1250856 1407213 1876284 1916821 1930392 2814426 3752568 3833642 4221639 5628852 5750463 7667284 8443278 11257704 11500926 15334568 16886556 17251389 23001852 33773112 34502778 46003704 51754167 69005556 103508334 138011112 155262501 207016668 310525002 414033336 465787503 621050004 931575006 1242100008 1397362509 1863150012 2794725018 3726300024 5589450036 11178900072