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4389464064 = 21135912109
BaseRepresentation
bin1000001011010000…
…11110100000000000
3102022220112212201010
410011220132200000
532442200322224
62003321240520
7213526554216
oct40550364000
912286485633
104389464064
111952813357
12a26033140
1354c51451b
142d8d74cb6
151aa556e29
hex105a1e800

4389464064 has 96 divisors (see below), whose sum is σ = 11901708000. Its totient is φ = 1438236672.

The previous prime is 4389464021. The next prime is 4389464077. The reversal of 4389464064 is 4604649834.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356442 + ... + 368550.

It is an arithmetic number, because the mean of its divisors is an integer number (123976125).

Almost surely, 24389464064 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 4389464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950854000).

4389464064 is an abundant number, since it is smaller than the sum of its proper divisors (7512243936).

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

4389464064 is a wasteful number, since it uses less digits than its factorization.

4389464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12193 (or 12173 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The square root of 4389464064 is about 66253.0306023807. The cubic root of 4389464064 is about 1637.3335691153. Note that the first 3 decimals are identical.

The spelling of 4389464064 in words is "four billion, three hundred eighty-nine million, four hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 512 708 768 944 1024 1416 1536 1888 2048 2832 3072 3776 5664 6144 7552 11328 12109 15104 22656 24218 30208 36327 45312 48436 60416 72654 90624 96872 120832 145308 181248 193744 290616 362496 387488 581232 714431 774976 1162464 1428862 1549952 2143293 2324928 2857724 3099904 4286586 4649856 5715448 6199808 8573172 9299712 11430896 12399616 17146344 18599424 22861792 24799232 34292688 37198848 45723584 68585376 74397696 91447168 137170752 182894336 274341504 365788672 548683008 731577344 1097366016 1463154688 2194732032 4389464064