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11064336444 = 22327124935153
BaseRepresentation
bin10100100110111110…
…00110000000111100
31001120002111112020200
422103133012000330
5140124432231234
65025523043500
7541120210440
oct122337060074
931502445220
1011064336444
114768590807
122189510590
131074362355
1476d65a820
1544b54bd99
hex2937c603c

11064336444 has 72 divisors (see below), whose sum is σ = 31990140000. Its totient is φ = 3158618112.

The previous prime is 11064336431. The next prime is 11064336463. The reversal of 11064336444 is 44463346011.

11064336444 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 4 + 3 + 3 + 644 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11064336399 and 11064336408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297172 + ... + 332324.

It is an arithmetic number, because the mean of its divisors is an integer number (444307500).

Almost surely, 211064336444 is an apocalyptic number.

11064336444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11064336444 is an abundant number, since it is smaller than the sum of its proper divisors (20925803556).

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

11064336444 is a wasteful number, since it uses less digits than its factorization.

11064336444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36419 (or 36414 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 11064336444 in words is "eleven billion, sixty-four million, three hundred thirty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1249 2498 3747 4996 7494 8743 11241 14988 17486 22482 26229 34972 35153 44964 52458 70306 78687 104916 105459 140612 157374 210918 246071 314748 316377 421836 492142 632754 738213 984284 1265508 1476426 2214639 2952852 4429278 8858556 43906097 87812194 131718291 175624388 263436582 307342679 395154873 526873164 614685358 790309746 922028037 1229370716 1580619492 1844056074 2766084111 3688112148 5532168222 11064336444