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945366016 = 2107283227
BaseRepresentation
bin111000010110010…
…010010000000000
32102212212120101011
4320112102100000
53414003203031
6233450250304
732266323100
oct7026222000
92385776334
10945366016
114456a8531
12224726994
13120b1b79a
148d7a9200
1557edd6b1
hex38592400

945366016 has 132 divisors (see below), whose sum is σ = 2234636208. Its totient is φ = 398512128.

The previous prime is 945366013. The next prime is 945366031. The reversal of 945366016 is 610663549.

It is a self number, because there is not a number n which added to its sum of digits gives 945366016.

It is not an unprimeable number, because it can be changed into a prime (945366011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4164495 + ... + 4164721.

Almost surely, 2945366016 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 945366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117318104).

945366016 is an abundant number, since it is smaller than the sum of its proper divisors (1289270192).

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

945366016 is a wasteful number, since it uses less digits than its factorization.

945366016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 945366016 is about 30746.8049722243. The cubic root of 945366016 is about 981.4465711588.

The spelling of 945366016 in words is "nine hundred forty-five million, three hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 83 98 112 128 166 196 224 227 256 332 392 448 454 512 581 664 784 896 908 1024 1162 1328 1568 1589 1792 1816 2324 2656 3136 3178 3584 3632 4067 4648 5312 6272 6356 7168 7264 8134 9296 10624 11123 12544 12712 14528 16268 18592 18841 21248 22246 25088 25424 29056 32536 37184 37682 42496 44492 50176 50848 58112 65072 74368 75364 84992 88984 101696 116224 130144 131887 148736 150728 177968 203392 232448 260288 263774 297472 301456 355936 406784 520576 527548 594944 602912 711872 813568 923209 1041152 1055096 1205824 1423744 1627136 1846418 2082304 2110192 2411648 2847488 3692836 4164608 4220384 4823296 5694976 7385672 8440768 9646592 11389952 14771344 16881536 19293184 29542688 33763072 59085376 67526144 118170752 135052288 236341504 472683008 945366016