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11381817664 = 267101251543
BaseRepresentation
bin10101001100110100…
…01100000101000000
31002101012220020121101
422212122030011000
5141302221131124
65121223504144
7552023565610
oct124632140500
932335806541
1011381817664
114910815088
1222578b8054
1310c5070c69
1479d8a0a40
15469360644
hex2a668c140

11381817664 has 56 divisors (see below), whose sum is σ = 26068007808. Its totient is φ = 4829606400.

The previous prime is 11381817583. The next prime is 11381817677. The reversal of 11381817664 is 46671818311.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80524 + ... + 171019.

Almost surely, 211381817664 is an apocalyptic number.

11381817664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11381817664 is an abundant number, since it is smaller than the sum of its proper divisors (14686190144).

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

11381817664 is a wasteful number, since it uses less digits than its factorization.

11381817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251663 (or 251653 counting only the distinct ones).

The product of its digits is 193536, while the sum is 46.

The spelling of 11381817664 in words is "eleven billion, three hundred eighty-one million, eight hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 202 224 404 448 707 808 1414 1616 2828 3232 5656 6464 11312 22624 45248 251543 503086 1006172 1760801 2012344 3521602 4024688 7043204 8049376 14086408 16098752 25405843 28172816 50811686 56345632 101623372 112691264 177840901 203246744 355681802 406493488 711363604 812986976 1422727208 1625973952 2845454416 5690908832 11381817664