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4380268416 = 273171076271
BaseRepresentation
bin1000001010001010…
…11001011110000000
3102022021020200122120
410011011121132000
532432322042131
62002352204240
7213355444566
oct40505313600
912267220576
104380268416
111948602547
12a22b39680
1354a644b04
142d7a5da36
151a983c496
hex105159780

4380268416 has 128 divisors (see below), whose sum is σ = 12436623360. Its totient is φ = 1361141760.

The previous prime is 4380268397. The next prime is 4380268439. The reversal of 4380268416 is 6148620834.

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, 695361 + ... + 701631.

It is an arithmetic number, because the mean of its divisors is an integer number (97161120).

Almost surely, 24380268416 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 4380268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218311680).

4380268416 is an abundant number, since it is smaller than the sum of its proper divisors (8056354944).

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

4380268416 is a wasteful number, since it uses less digits than its factorization.

4380268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4380268416 is about 66183.5962758144. The cubic root of 4380268416 is about 1636.1893998636.

The spelling of 4380268416 in words is "four billion, three hundred eighty million, two hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 107 128 136 192 204 214 272 321 384 408 428 544 642 816 856 1088 1284 1632 1712 1819 2176 2568 3264 3424 3638 5136 5457 6271 6528 6848 7276 10272 10914 12542 13696 14552 18813 20544 21828 25084 29104 37626 41088 43656 50168 58208 75252 87312 100336 106607 116416 150504 174624 200672 213214 232832 301008 319821 349248 401344 426428 602016 639642 670997 698496 802688 852856 1204032 1279284 1341994 1705712 2012991 2408064 2558568 2683988 3411424 4025982 5117136 5367976 6822848 8051964 10234272 10735952 11406949 13645696 16103928 20468544 21471904 22813898 32207856 34220847 40937088 42943808 45627796 64415712 68441694 85887616 91255592 128831424 136883388 182511184 257662848 273766776 365022368 547533552 730044736 1095067104 1460089472 2190134208 4380268416