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12037066344 = 2333413473917
BaseRepresentation
bin10110011010111011…
…10000111001101000
31011001212212022211000
423031131300321220
5144122442110334
65310232035000
7604201242612
oct131535607150
934055768730
1012037066344
115117679116
1223bb232a60
13119aa41c84
14822909db2
154a6b43299
hex2cd770e68

12037066344 has 128 divisors (see below), whose sum is σ = 34359292800. Its totient is φ = 3902215680.

The previous prime is 12037066313. The next prime is 12037066361. The reversal of 12037066344 is 44366073021.

It is a happy number.

12037066344 is a `hidden beast` number, since 12 + 0 + 3 + 7 + 0 + 6 + 634 + 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 = 12037066299 and 12037066308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3071074 + ... + 3074990.

It is an arithmetic number, because the mean of its divisors is an integer number (268431975).

Almost surely, 212037066344 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 12037066344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17179646400).

12037066344 is an abundant number, since it is smaller than the sum of its proper divisors (22322226456).

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

12037066344 is a wasteful number, since it uses less digits than its factorization.

12037066344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 12037066344 in words is "twelve billion, thirty-seven million, sixty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 347 369 492 694 738 984 1041 1107 1388 1476 2082 2214 2776 2952 3123 3917 4164 4428 6246 7834 8328 8856 9369 11751 12492 14227 15668 18738 23502 24984 28454 31336 35253 37476 42681 47004 56908 70506 74952 85362 94008 105759 113816 128043 141012 160597 170724 211518 256086 282024 321194 341448 384129 423036 481791 512172 642388 768258 846072 963582 1024344 1284776 1359199 1445373 1536516 1927164 2718398 2890746 3073032 3854328 4077597 4336119 5436796 5781492 8155194 8672238 10873592 11562984 12232791 16310388 17344476 24465582 32620776 34688952 36698373 48931164 55727159 73396746 97862328 111454318 146793492 167181477 222908636 293586984 334362954 445817272 501544431 668725908 1003088862 1337451816 1504633293 2006177724 3009266586 4012355448 6018533172 12037066344