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1331104192 = 26115973439
BaseRepresentation
bin100111101010111…
…0000100111000000
310102202201002200021
41033111300213000
510211230313232
6340030103224
744662125145
oct11725604700
93382632607
101331104192
11623412310
1231194ab14
13182a08722
14c8ada3cc
157bcd6397
hex4f5709c0

1331104192 has 112 divisors (see below), whose sum is σ = 2977286400. Its totient is φ = 585308160.

The previous prime is 1331104163. The next prime is 1331104207. The reversal of 1331104192 is 2914011331.

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, 3031909 + ... + 3032347.

Almost surely, 21331104192 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 1331104192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488643200).

1331104192 is an abundant number, since it is smaller than the sum of its proper divisors (1646182208).

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

1331104192 is a wasteful number, since it uses less digits than its factorization.

1331104192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 1331104192 is about 36484.3006236929. The cubic root of 1331104192 is about 1100.0287022814.

The spelling of 1331104192 in words is "one billion, three hundred thirty-one million, one hundred four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 73 88 118 146 176 236 292 352 439 472 584 649 704 803 878 944 1168 1298 1606 1756 1888 2336 2596 3212 3512 3776 4307 4672 4829 5192 6424 7024 8614 9658 10384 12848 14048 17228 19316 20768 25696 25901 28096 32047 34456 38632 41536 47377 51392 51802 64094 68912 77264 94754 103604 128188 137824 154528 189508 207208 256376 275648 284911 309056 352517 379016 414416 512752 569822 705034 758032 828832 1025504 1139644 1410068 1516064 1657664 1890773 2051008 2279288 2820136 3032128 3781546 4558576 5640272 7563092 9117152 11280544 15126184 18234304 20798503 22561088 30252368 41597006 60504736 83194012 121009472 166388024 332776048 665552096 1331104192