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4699468416 = 27371971777
BaseRepresentation
bin1000110000001110…
…00011001010000000
3110010111212201201210
410120013003022000
534111030442131
62054153530120
7224312552046
oct43007031200
913114781653
104699468416
111aa18001a5
12ab1a13940
1359b805b56
143281d0396
151c7890146
hex1181c3280

4699468416 has 128 divisors (see below), whose sum is σ = 12796479360. Its totient is φ = 1527644160.

The previous prime is 4699468349. The next prime is 4699468439. The reversal of 4699468416 is 6148649964.

It is a happy number.

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

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, 2643720 + ... + 2645496.

It is an arithmetic number, because the mean of its divisors is an integer number (99972495).

Almost surely, 24699468416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4699468416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398239680).

4699468416 is an abundant number, since it is smaller than the sum of its proper divisors (8097010944).

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

4699468416 is a wasteful number, since it uses less digits than its factorization.

4699468416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1950 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The square root of 4699468416 is about 68552.6689195979. The cubic root of 4699468416 is about 1675.0055294686.

The spelling of 4699468416 in words is "four billion, six hundred ninety-nine million, four hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 97 128 142 192 194 213 284 291 384 388 426 568 582 776 852 1136 1164 1552 1704 1777 2272 2328 3104 3408 3554 4544 4656 5331 6208 6816 6887 7108 9088 9312 10662 12416 13632 13774 14216 18624 20661 21324 27264 27548 28432 37248 41322 42648 55096 56864 82644 85296 110192 113728 126167 165288 170592 172369 220384 227456 252334 330576 341184 344738 378501 440768 504668 517107 661152 682368 689476 757002 881536 1009336 1034214 1322304 1378952 1514004 2018672 2068428 2644608 2757904 3028008 4037344 4136856 5515808 6056016 8074688 8273712 11031616 12112032 12238199 16149376 16547424 22063232 24224064 24476398 33094848 36714597 48448128 48952796 66189696 73429194 97905592 146858388 195811184 293716776 391622368 587433552 783244736 1174867104 1566489472 2349734208 4699468416