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11138891664 = 24319121310069
BaseRepresentation
bin10100101111110110…
…11111111110010000
31001202021210022210010
422113323133332100
5140303024013124
65041145034520
7543014005545
oct122773377620
931667708703
1011138891664
1147a668319a
1221aa485a40
131086937374
14779506bcc
15452d77529
hex297edff90

11138891664 has 80 divisors (see below), whose sum is σ = 30317950400. Its totient is φ = 3514295808.

The previous prime is 11138891639. The next prime is 11138891681. The reversal of 11138891664 is 46619883111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101222 + ... + 1111290.

It is an arithmetic number, because the mean of its divisors is an integer number (378974380).

Almost surely, 211138891664 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 11138891664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15158975200).

11138891664 is an abundant number, since it is smaller than the sum of its proper divisors (19179058736).

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

11138891664 is a wasteful number, since it uses less digits than its factorization.

11138891664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11312 (or 11306 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The spelling of 11138891664 in words is "eleven billion, one hundred thirty-eight million, eight hundred ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1213 2426 3639 4852 7278 9704 10069 14556 19408 20138 23047 29112 30207 40276 46094 58224 60414 69141 80552 92188 120828 138282 161104 184376 191311 241656 276564 368752 382622 483312 553128 573933 765244 1106256 1147866 1530488 2295732 3060976 4591464 9182928 12213697 24427394 36641091 48854788 73282182 97709576 146564364 195419152 232060243 293128728 464120486 586257456 696180729 928240972 1392361458 1856481944 2784722916 3712963888 5569445832 11138891664