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4973683105552 = 2472293273897
BaseRepresentation
bin100100001100000011010…
…0111010101111100010000
3122121110221112020101000211
41020120012213111330100
51122442100333334202
614324513430053504
71022223334564300
oct110300647257420
918543845211024
104973683105552
1116483664a4217
12683b244aa294
132a1029a89085
14132a28561600
158959c1231d7
hex486069d5f10

4973683105552 has 90 divisors (see below), whose sum is σ = 11248360496538. Its totient is φ = 2124274715136.

The previous prime is 4973683105543. The next prime is 4973683105577. The reversal of 4973683105552 is 2555013863794.

It can be written as a sum of positive squares in 3 ways, for example, as 3756138581776 + 1217544523776 = 1938076^2 + 1103424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67268668 + ... + 67342564.

It is a 1-persistent number, because it is pandigital, but 2⋅4973683105552 = 9947366211104 is not.

Almost surely, 24973683105552 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 4973683105552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624180248269).

4973683105552 is an abundant number, since it is smaller than the sum of its proper divisors (6274677390986).

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

4973683105552 is an equidigital number, since it uses as much as digits as its factorization.

4973683105552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74505 (or 74199 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 58.

The spelling of 4973683105552 in words is "four trillion, nine hundred seventy-three billion, six hundred eighty-three million, one hundred five thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 293 392 586 784 1172 2051 2344 4102 4688 8204 14357 16408 28714 32816 57428 73897 85849 114856 147794 171698 229712 295588 343396 517279 591176 600943 686792 1034558 1182352 1201886 1373584 2069116 2403772 3620953 4138232 4206601 4807544 7241906 8276464 8413202 9615088 14483812 16826404 21651821 28967624 33652808 43303642 57935248 67305616 86607284 151562747 173214568 303125494 346429136 606250988 1060939229 1212501976 2121878458 2425003952 4243756916 6343983553 8487513832 12687967106 16975027664 25375934212 44407884871 50751868424 88815769742 101503736848 177631539484 310855194097 355263078968 621710388194 710526157936 1243420776388 2486841552776 4973683105552