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1136249664 = 263112332309
BaseRepresentation
bin100001110111001…
…1100101101000000
32221012001110111220
41003232130231000
54311334442124
6304425435040
740104651144
oct10356345500
92835043456
101136249664
11533424210
1227863ba80
131515334a4
14aac97224
1569b46879
hex43b9cb40

1136249664 has 112 divisors (see below), whose sum is σ = 3295131840. Its totient is φ = 342691840.

The previous prime is 1136249659. The next prime is 1136249677. The reversal of 1136249664 is 4669426311.

It is a happy number.

It is a super-2 number, since 2×11362496642 = 2582126597880225792, which contains 22 as substring.

It is a congruent number.

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, 490942 + ... + 493250.

It is an arithmetic number, because the mean of its divisors is an integer number (29420820).

Almost surely, 21136249664 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 1136249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647565920).

1136249664 is an abundant number, since it is smaller than the sum of its proper divisors (2158882176).

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

1136249664 is a wasteful number, since it uses less digits than its factorization.

1136249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2558 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 1136249664 is about 33708.3025974314. The cubic root of 1136249664 is about 1043.4971227943.

The spelling of 1136249664 in words is "one billion, one hundred thirty-six million, two hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 233 264 352 466 528 699 704 932 1056 1398 1864 2112 2309 2563 2796 3728 4618 5126 5592 6927 7456 7689 9236 10252 11184 13854 14912 15378 18472 20504 22368 25399 27708 30756 36944 41008 44736 50798 55416 61512 73888 76197 82016 101596 110832 123024 147776 152394 164032 203192 221664 246048 304788 406384 443328 492096 537997 609576 812768 1075994 1219152 1613991 1625536 2151988 2438304 3227982 4303976 4876608 5917967 6455964 8607952 11835934 12911928 17215904 17753901 23671868 25823856 34431808 35507802 47343736 51647712 71015604 94687472 103295424 142031208 189374944 284062416 378749888 568124832 1136249664