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4405670016 = 27311294819
BaseRepresentation
bin1000001101001100…
…10011000010000000
3102101001001020002120
410012212103002000
533010322420031
62005100444240
7214114401666
oct40646230200
912331036076
104405670016
111960982100
12a2b549680
13552999a47
142db192c36
151abba8a96
hex106993080

4405670016 has 96 divisors (see below), whose sum is σ = 12863281200. Its totient is φ = 1335037440.

The previous prime is 4405669991. The next prime is 4405670029. The reversal of 4405670016 is 6100765044.

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 (33).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 946 + ... + 93873.

Almost surely, 24405670016 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 4405670016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431640600).

4405670016 is an abundant number, since it is smaller than the sum of its proper divisors (8457611184).

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

4405670016 is a wasteful number, since it uses less digits than its factorization.

4405670016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94858 (or 94835 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4405670016 is about 66375.2214007607. The cubic root of 4405670016 is about 1639.3461125125.

The spelling of 4405670016 in words is "four billion, four hundred five million, six hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 46464 94819 189638 284457 379276 568914 758552 1043009 1137828 1517104 2086018 2275656 3034208 3129027 4172036 4551312 6068416 6258054 8344072 9102624 11473099 12136832 12516108 16688144 18205248 22946198 25032216 33376288 34419297 36410496 45892396 50064432 66752576 68838594 91784792 100128864 133505152 137677188 183569584 200257728 275354376 367139168 400515456 550708752 734278336 1101417504 1468556672 2202835008 4405670016