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4991153904 = 24371112967
BaseRepresentation
bin1001010010111111…
…01111011011110000
3110212211201220000000
410221133233123300
540210213411104
62143133430000
7234454052052
oct45137573360
913784656000
104991153904
112131415890
12b7363b300
13617082309
14354c3b8d2
151e32aa639
hex1297ef6f0

4991153904 has 160 divisors (see below), whose sum is σ = 15823034880. Its totient is φ = 1512354240.

The previous prime is 4991153899. The next prime is 4991153917. The reversal of 4991153904 is 4093511994.

4991153904 is a `hidden beast` number, since 499 + 1 + 153 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4991153904.

It is a congruent number.

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, 378429 + ... + 391395.

It is an arithmetic number, because the mean of its divisors is an integer number (98893968).

Almost surely, 24991153904 is an apocalyptic number.

4991153904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4991153904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911517440).

4991153904 is an abundant number, since it is smaller than the sum of its proper divisors (10831880976).

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

4991153904 is a wasteful number, since it uses less digits than its factorization.

4991153904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13007 (or 12983 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 4991153904 is about 70648.0990827071. The cubic root of 4991153904 is about 1708.9669106151.

The spelling of 4991153904 in words is "four billion, nine hundred ninety-one million, one hundred fifty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 729 792 891 972 1188 1296 1458 1584 1782 1944 2187 2376 2673 2916 3564 3888 4374 4752 5346 5832 7128 8019 8748 10692 11664 12967 14256 16038 17496 21384 24057 25934 32076 34992 38901 42768 48114 51868 64152 77802 96228 103736 116703 128304 142637 155604 192456 207472 233406 285274 311208 350109 384912 427911 466812 570548 622416 700218 855822 933624 1050327 1141096 1283733 1400436 1711644 1867248 2100654 2282192 2567466 2800872 3150981 3423288 3851199 4201308 5134932 5601744 6301962 6846576 7702398 8402616 9452943 10269864 11553597 12603924 15404796 16805232 18905886 20539728 23107194 25207848 28358829 30809592 34660791 37811772 46214388 50415696 56717658 61619184 69321582 75623544 92428776 103982373 113435316 138643164 151247088 184857552 207964746 226870632 277286328 311947119 415929492 453741264 554572656 623894238 831858984 1247788476 1663717968 2495576952 4991153904