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1136141664 = 25371690687
BaseRepresentation
bin100001110111000…
…0010010101100000
32221011211222100220
41003232002111200
54311323013124
6304423243040
740104021240
oct10356022540
92834758326
101136141664
11533360059
122785a9480
131514c6298
14aac69b20
1569b24879
hex43b82560

1136141664 has 48 divisors (see below), whose sum is σ = 3408427008. Its totient is φ = 324611712.

The previous prime is 1136141641. The next prime is 1136141681. The reversal of 1136141664 is 4661416311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

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, 844672 + ... + 846015.

It is an arithmetic number, because the mean of its divisors is an integer number (71008896).

Almost surely, 21136141664 is an apocalyptic number.

1136141664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1136141664 is an abundant number, since it is smaller than the sum of its proper divisors (2272285344).

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

1136141664 is a wasteful number, since it uses less digits than its factorization.

1136141664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690707 (or 1690699 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 1136141664 is about 33706.7005801517. The cubic root of 1136141664 is about 1043.4640604420.

Adding to 1136141664 its reverse (4661416311), we get a palindrome (5797557975).

The spelling of 1136141664 in words is "one billion, one hundred thirty-six million, one hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1690687 3381374 5072061 6762748 10144122 11834809 13525496 20288244 23669618 27050992 35504427 40576488 47339236 54101984 71008854 81152976 94678472 142017708 162305952 189356944 284035416 378713888 568070832 1136141664