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938945496064 = 21010722832
BaseRepresentation
bin11011010100111011000…
…00110100010000000000
310022202120201121021021111
431222131200310100000
5110340430021333224
61555202352333104
7124556642013562
oct15523540642000
93282521537244
10938945496064
11332228288484
12131b82b44194
136a70822a034
14336338d9332
1519656667d94
hexda9d834400

938945496064 has 99 divisors (see below), whose sum is σ = 1901398447767. Its totient is φ = 463441741824.

The previous prime is 938945496053. The next prime is 938945496079. The reversal of 938945496064 is 460694549839.

The square root of 938945496064 is 968992.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3317828467 + ... + 3317828749.

Almost surely, 2938945496064 is an apocalyptic number.

938945496064 is the 968992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 938945496064

938945496064 is an abundant number, since it is smaller than the sum of its proper divisors (962452951703).

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

938945496064 is an frugal number, since it uses more digits than its factorization.

938945496064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 67.

The spelling of 938945496064 in words is "nine hundred thirty-eight billion, nine hundred forty-five million, four hundred ninety-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 283 428 512 566 856 1024 1132 1712 2264 3424 4528 6848 9056 11449 13696 18112 22898 27392 30281 36224 45796 54784 60562 72448 80089 91592 109568 121124 144896 160178 183184 242248 289792 320356 366368 484496 640712 732736 968992 1281424 1465472 1937984 2562848 2930944 3240067 3875968 5125696 5861888 6480134 7751936 8569523 10251392 11723776 12960268 15503872 17139046 20502784 25920536 31007744 34278092 41005568 51841072 68556184 82011136 103682144 137112368 207364288 274224736 414728576 548449472 829457152 916938961 1096898944 1658914304 1833877922 2193797888 3317828608 3667755844 4387595776 7335511688 8775191552 14671023376 29342046752 58684093504 117368187008 234736374016 469472748032 938945496064