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4404769146 = 235233891013
BaseRepresentation
bin1000001101000101…
…10111000101111010
3102100222100110100000
410012202313011322
533010110103041
62005025253430
7214103630361
oct40642670572
912328313300
104404769146
111960417288
12a2b194276
1355274299b
142dadda7d8
151aba7bbb6
hex1068b717a

4404769146 has 96 divisors (see below), whose sum is σ = 10364215680. Its totient is φ = 1399425984.

The previous prime is 4404769099. The next prime is 4404769153. The reversal of 4404769146 is 6419674044.

4404769146 is a `hidden beast` number, since 440 + 4 + 7 + 69 + 146 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4347736 + ... + 4348748.

It is an arithmetic number, because the mean of its divisors is an integer number (107960580).

Almost surely, 24404769146 is an apocalyptic number.

4404769146 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4404769146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182107840).

4404769146 is an abundant number, since it is smaller than the sum of its proper divisors (5959446534).

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

4404769146 is a wasteful number, since it uses less digits than its factorization.

4404769146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4404769146 is about 66368.4348617624. The cubic root of 4404769146 is about 1639.2343672388.

The spelling of 4404769146 in words is "four billion, four hundred four million, seven hundred sixty-nine thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 389 414 486 621 778 1013 1167 1242 1863 2026 2334 3039 3501 3726 5589 6078 7002 8947 9117 10503 11178 17894 18234 21006 23299 26841 27351 31509 46598 53682 54702 63018 69897 80523 82053 94527 139794 161046 164106 189054 209691 241569 246159 394057 419382 483138 492318 629073 724707 788114 1182171 1258146 1449414 1887219 2174121 2364342 3546513 3774438 4348242 5661657 7093026 9063311 10639539 11323314 18126622 21279078 27189933 31918617 54379866 63837234 81569799 95755851 163139598 191511702 244709397 489418794 734128191 1468256382 2202384573 4404769146