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11142047664 = 2438119649
BaseRepresentation
bin10100110000001111…
…00010011110110000
31001202111201200000000
422120013202132300
5140304331011124
65041340430000
7543052561656
oct123007423660
931674650000
1011142047664
1147a8439360
1221ab548300
1310874a0a17
14779ac8dd6
1545329c6c9
hex2981e27b0

11142047664 has 180 divisors, whose sum is σ = 35327221800. Its totient is φ = 3376028160.

The previous prime is 11142047633. The next prime is 11142047671. The reversal of 11142047664 is 46674024111.

It is a happy number.

It is a super-2 number, since 2×111420476642 (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 1149912 + ... + 1159560.

Almost surely, 211142047664 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 11142047664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17663610900).

11142047664 is an abundant number, since it is smaller than the sum of its proper divisors (24185174136).

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

11142047664 is an frugal number, since it uses more digits than its factorization.

11142047664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9692 (or 9665 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11142047664 in words is "eleven billion, one hundred forty-two million, forty-seven thousand, six hundred sixty-four".