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3716989440 = 29353791277
BaseRepresentation
bin1101110110001100…
…1100001000000000
3100121001011121221120
43131203030020000
530103022130230
61412455552240
7161052613623
oct33543141000
910531147846
103716989440
1116381641aa
1287898b680
134730c1948
14273923dba
1516b4c0310
hexdd8cc200

3716989440 has 160 divisors (see below), whose sum is σ = 11923433280. Its totient is φ = 987807744.

The previous prime is 3716989417. The next prime is 3716989447. The reversal of 3716989440 is 449896173.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (3716989447) 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, 2910082 + ... + 2911358.

It is an arithmetic number, because the mean of its divisors is an integer number (74521458).

Almost surely, 23716989440 is an apocalyptic number.

3716989440 is a gapful number since it is divisible by the number (30) 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 3716989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961716640).

3716989440 is an abundant number, since it is smaller than the sum of its proper divisors (8206443840).

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

3716989440 is a wasteful number, since it uses less digits than its factorization.

3716989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 3716989440 is about 60967.1176947049. The cubic root of 3716989440 is about 1549.0440779416.

The spelling of 3716989440 in words is "three billion, seven hundred sixteen million, nine hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 379 384 480 512 640 758 768 960 1137 1277 1280 1516 1536 1895 1920 2274 2554 2560 3032 3790 3831 3840 4548 5108 5685 6064 6385 7580 7662 7680 9096 10216 11370 12128 12770 15160 15324 18192 19155 20432 22740 24256 25540 30320 30648 36384 38310 40864 45480 48512 51080 60640 61296 72768 76620 81728 90960 97024 102160 121280 122592 145536 153240 163456 181920 194048 204320 242560 245184 291072 306480 326912 363840 408640 483983 485120 490368 582144 612960 653824 727680 817280 967966 970240 980736 1225920 1451949 1455360 1634560 1935932 1961472 2419915 2451840 2903898 2910720 3269120 3871864 4839830 4903680 5807796 7259745 7743728 9679660 9807360 11615592 14519490 15487456 19359320 23231184 29038980 30974912 38718640 46462368 58077960 61949824 77437280 92924736 116155920 123899648 154874560 185849472 232311840 247799296 309749120 371698944 464623680 619498240 743397888 929247360 1238996480 1858494720 3716989440