Search a number
-
+
48445332616704 = 293199337470303
BaseRepresentation
bin10110000001111100011101…
…10101110111011000000000
320100112022212112012022120110
423000332032311313120000
522322212020122213304
6251011251211511320
713130026334616252
oct1300761665673000
9210468775168513
1048445332616704
1114488606327591
125525043a58540
1321054b55b8bba
14bd6aa380dcd2
155902932bc289
hex2c0f8ed77600

48445332616704 has 160 divisors (see below), whose sum is σ = 130095116236800. Its totient is φ = 16019584745472.

The previous prime is 48445332616699. The next prime is 48445332616711. The reversal of 48445332616704 is 40761623354484.

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, 102773617 + ... + 103243919.

It is an arithmetic number, because the mean of its divisors is an integer number (813094476480).

Almost surely, 248445332616704 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 48445332616704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65047558118400).

48445332616704 is an abundant number, since it is smaller than the sum of its proper divisors (81649783620096).

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

48445332616704 is a wasteful number, since it uses less digits than its factorization.

48445332616704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470860 (or 470844 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 57.

The spelling of 48445332616704 in words is "forty-eight trillion, four hundred forty-five billion, three hundred thirty-two million, six hundred sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 256 337 384 398 512 597 674 768 796 1011 1194 1348 1536 1592 2022 2388 2696 3184 4044 4776 5392 6368 8088 9552 10784 12736 16176 19104 21568 25472 32352 38208 43136 50944 64704 67063 76416 86272 101888 129408 134126 152832 172544 201189 258816 268252 305664 402378 470303 517632 536504 804756 940606 1073008 1410909 1609512 1881212 2146016 2821818 3219024 3762424 4292032 5643636 6438048 7524848 8584064 11287272 12876096 15049696 17168128 22574544 25752192 30099392 34336256 45149088 51504384 60198784 90298176 93590297 103008768 120397568 158492111 180596352 187180594 240795136 280770891 316984222 361192704 374361188 475476333 561541782 633968444 722385408 748722376 950952666 1123083564 1267936888 1497444752 1901905332 2246167128 2535873776 2994889504 3803810664 4492334256 5071747552 5989779008 7607621328 8984668512 10143495104 11979558016 15215242656 17969337024 20286990208 23959116032 30430485312 31539930089 35938674048 40573980416 47918232064 60860970624 63079860178 71877348096 81147960832 94619790267 121721941248 126159720356 143754696192 189239580534 243443882496 252319440712 378479161068 504638881424 756958322136 1009277762848 1513916644272 2018555525696 3027833288544 4037111051392 6055666577088 8074222102784 12111333154176 16148444205568 24222666308352 48445332616704