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4941583680 = 263511467953
BaseRepresentation
bin1001001101000101…
…01001010101000000
3110202101110110102210
410212202221111000
540110021134210
62134203142120
7233312524335
oct44642512500
913671413383
104941583680
112106438a60
12b5ab14940
13609a17717
1434c41698c
151ddc67e20
hex1268a9540

4941583680 has 112 divisors (see below), whose sum is σ = 17115885504. Its totient is φ = 1197957120.

The previous prime is 4941583679. The next prime is 4941583687. The reversal of 4941583680 is 863851494.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4941583687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223417 + ... + 244536.

Almost surely, 24941583680 is an apocalyptic number.

4941583680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4941583680 is an abundant number, since it is smaller than the sum of its proper divisors (12174301824).

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

4941583680 is a wasteful number, since it uses less digits than its factorization.

4941583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467984 (or 467974 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 4941583680 is about 70296.3987697805. The cubic root of 4941583680 is about 1703.2904758355.

The spelling of 4941583680 in words is "four billion, nine hundred forty-one million, five hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 467953 935906 1403859 1871812 2339765 2807718 3743624 4679530 5147483 5615436 7019295 7487248 9359060 10294966 11230872 14038590 14974496 15442449 18718120 20589932 22461744 25737415 28077180 29948992 30884898 37436240 41179864 44923488 51474830 56154360 61769796 74872480 77212245 82359728 89846976 102949660 112308720 123539592 149744960 154424490 164719456 205899320 224617440 247079184 308848980 329438912 411798640 449234880 494158368 617697960 823597280 988316736 1235395920 1647194560 2470791840 4941583680