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473053070075264 = 27718112611231299
BaseRepresentation
bin110101110001111010100000…
…0001100111010010110000000
32022000221102122210212022112122
41223203311000030322112000
5444001000141414402024
64354033325201543412
7201432646032020120
oct15343650014722600
92260842583768478
10473053070075264
11127802753653528
1245080a30044b68
13173c59368a2743
1484b5c68340c80
1539a52e14e4d5e
hex1ae3d4033a580

473053070075264 has 128 divisors (see below), whose sum is σ = 1083081531168000. Its totient is φ = 201600076953600.

The previous prime is 473053070075239. The next prime is 473053070075273. The reversal of 473053070075264 is 462570070350374.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2045085887 + ... + 2045317185.

It is an arithmetic number, because the mean of its divisors is an integer number (8461574462250).

Almost surely, 2473053070075264 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 473053070075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541540765584000).

473053070075264 is an abundant number, since it is smaller than the sum of its proper divisors (610028461092736).

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

473053070075264 is a wasteful number, since it uses less digits than its factorization.

473053070075264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244112 (or 244100 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 53.

The spelling of 473053070075264 in words is "four hundred seventy-three trillion, fifty-three billion, seventy million, seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 181 224 362 448 724 896 1267 1448 2534 2896 5068 5792 10136 11584 12611 20272 23168 25222 40544 50444 81088 88277 100888 162176 176554 201776 231299 353108 403552 462598 706216 807104 925196 1412432 1614208 1619093 1850392 2282591 2824864 3238186 3700784 4565182 5649728 6476372 7401568 9130364 11299456 12952744 14803136 15978137 18260728 25905488 29606272 31956274 36521456 41865119 51810976 63912548 73042912 83730238 103621952 127825096 146085824 167460476 207243904 255650192 292171648 293055833 334920952 511300384 586111666 669841904 1022600768 1172223332 1339683808 2045201536 2344446664 2679367616 2916911689 4688893328 5358735232 5833823378 9377786656 11667646756 18755573312 20418381823 23335293512 37511146624 40836763646 46670587024 81673527292 93341174048 163347054584 186682348096 326694109168 373364696192 527961015709 653388218336 1055922031418 1306776436672 2111844062836 2613552873344 3695727109963 4223688125672 7391454219926 8447376251344 14782908439852 16894752502688 29565816879704 33789505005376 59131633759408 67579010010752 118263267518816 236526535037632 473053070075264