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4940983680 = 27358093181
BaseRepresentation
bin1001001101000000…
…10110110110000000
3110202100022222101120
410212200112312000
540104342434210
62134142232240
7233304445143
oct44640266600
913670288346
104940983680
112106069196
12b5a885680
136098675a9
1434c2dc05a
151ddb9a270
hex126816d80

4940983680 has 128 divisors (see below), whose sum is σ = 15773810400. Its totient is φ = 1315553280.

The previous prime is 4940983679. The next prime is 4940983699. The reversal of 4940983680 is 863890494.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1551690 + ... + 1554870.

Almost surely, 24940983680 is an apocalyptic number.

4940983680 is a gapful number since it is divisible by the number (40) 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 4940983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7886905200).

4940983680 is an abundant number, since it is smaller than the sum of its proper divisors (10832826720).

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

4940983680 is a wasteful number, since it uses less digits than its factorization.

4940983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 4940983680 is about 70292.1309962929. The cubic root of 4940983680 is about 1703.2215360167.

The spelling of 4940983680 in words is "four billion, nine hundred forty million, nine hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 809 960 1618 1920 2427 3181 3236 4045 4854 6362 6472 8090 9543 9708 12135 12724 12944 15905 16180 19086 19416 24270 25448 25888 31810 32360 38172 38832 47715 48540 50896 51776 63620 64720 76344 77664 95430 97080 101792 103552 127240 129440 152688 155328 190860 194160 203584 254480 258880 305376 310656 381720 388320 407168 508960 517760 610752 763440 776640 1017920 1221504 1526880 1553280 2035840 2573429 3053760 5146858 6107520 7720287 10293716 12867145 15440574 20587432 25734290 30881148 38601435 41174864 51468580 61762296 77202870 82349728 102937160 123524592 154405740 164699456 205874320 247049184 308811480 329398912 411748640 494098368 617622960 823497280 988196736 1235245920 1646994560 2470491840 4940983680