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473960648704 = 2123123472
BaseRepresentation
bin1101110010110100100…
…00011001000000000000
31200022101010120121111011
412321122100121000000
530231132411224304
61001422353330304
746146121020304
oct6713220310000
91608333517434
10473960648704
11173007480464
1277a34566994
13359044a9bba
1418d22c07d04
15c4deaa9c04
hex6e5a419000

473960648704 has 117 divisors (see below), whose sum is σ = 982196742891. Its totient is φ = 228674887680.

The previous prime is 473960648701. The next prime is 473960648729. The reversal of 473960648704 is 407846069374.

The square root of 473960648704 is 688448.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (473960648701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1365880659 + ... + 1365881005.

Almost surely, 2473960648704 is an apocalyptic number.

473960648704 is the 688448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473960648704

473960648704 is an abundant number, since it is smaller than the sum of its proper divisors (508236094187).

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

473960648704 is an frugal number, since it uses more digits than its factorization.

473960648704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 58.

The spelling of 473960648704 in words is "four hundred seventy-three billion, nine hundred sixty million, six hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 347 496 512 694 961 992 1024 1388 1922 1984 2048 2776 3844 3968 4096 5552 7688 7936 10757 11104 15376 15872 21514 22208 30752 31744 43028 44416 61504 63488 86056 88832 120409 123008 126976 172112 177664 240818 246016 333467 344224 355328 481636 492032 666934 688448 710656 963272 984064 1333868 1376896 1421312 1926544 1968128 2667736 2753792 3732679 3853088 3936256 5335472 5507584 7465358 7706176 10670944 11015168 14930716 15412352 21341888 22030336 29861432 30824704 42683776 44060672 59722864 61649408 85367552 115713049 119445728 123298816 170735104 231426098 238891456 246597632 341470208 462852196 477782912 493195264 682940416 925704392 955565824 1365880832 1851408784 1911131648 3702817568 3822263296 7405635136 7644526592 14811270272 15289053184 29622540544 59245081088 118490162176 236980324352 473960648704