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44662004992 = 2811233718637
BaseRepresentation
bin101001100110000100…
…000001110100000000
311021021120102221002001
4221212010001310000
51212431433124432
632303433433344
73140523531043
oct514604016400
9137246387061
1044662004992
1117a395a0430
1287a526b854
134299b9c2b7
142239808c5a
151265e269e7
hexa66101d00

44662004992 has 144 divisors (see below), whose sum is σ = 104230852992. Its totient is φ = 18892431360.

The previous prime is 44662004953. The next prime is 44662004993. The reversal of 44662004992 is 29940026644.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44662004993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2387098 + ... + 2405734.

It is an arithmetic number, because the mean of its divisors is an integer number (723825368).

Almost surely, 244662004992 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 44662004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52115426496).

44662004992 is an abundant number, since it is smaller than the sum of its proper divisors (59568848000).

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

44662004992 is a wasteful number, since it uses less digits than its factorization.

44662004992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18724 (or 18710 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 44662004992 in words is "forty-four billion, six hundred sixty-two million, four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 23 32 37 44 46 64 74 88 92 128 148 176 184 253 256 296 352 368 407 506 592 704 736 814 851 1012 1184 1408 1472 1628 1702 2024 2368 2816 2944 3256 3404 4048 4736 5888 6512 6808 8096 9361 9472 13024 13616 16192 18637 18722 26048 27232 32384 37274 37444 52096 54464 64768 74548 74888 104192 108928 149096 149776 205007 217856 298192 299552 410014 428651 596384 599104 689569 820028 857302 1192768 1198208 1379138 1640056 1714604 2385536 2396416 2758276 3280112 3429208 4715161 4771072 5516552 6560224 6858416 7585259 9430322 11033104 13120448 13716832 15170518 15860087 18860644 22066208 26240896 27433664 30341036 31720174 37721288 44132416 52481792 54867328 60682072 63440348 75442576 88264832 109734656 121364144 126880696 150885152 174460957 176529664 242728288 253761392 301770304 348921914 485456576 507522784 603540608 697843828 970913152 1015045568 1207081216 1395687656 1941826304 2030091136 2791375312 4060182272 5582750624 11165501248 22331002496 44662004992