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4967423298944 = 277910913134403
BaseRepresentation
bin100100001001001000110…
…0000000100110110000000
3122120212210021022020200122
41020102101200010312000
51122341240331031234
614322000332435412
71021612244241251
oct110222140046600
918525707266618
104967423298944
111645743a51927
12682878018b68
132a056cc260b2
141325d3042b28
15893327ba92e
hex48491804d80

4967423298944 has 128 divisors (see below), whose sum is σ = 10190740032000. Its totient is φ = 2411156367360.

The previous prime is 4967423298917. The next prime is 4967423298949. The reversal of 4967423298944 is 4498923247694.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4967423298949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144372047 + ... + 144406449.

It is an arithmetic number, because the mean of its divisors is an integer number (79615156500).

Almost surely, 24967423298944 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 4967423298944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095370016000).

4967423298944 is an abundant number, since it is smaller than the sum of its proper divisors (5223316733056).

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

4967423298944 is a wasteful number, since it uses less digits than its factorization.

4967423298944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34736 (or 34724 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 71.

The spelling of 4967423298944 in words is "four trillion, nine hundred sixty-seven billion, four hundred twenty-three million, two hundred ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 79 109 128 131 158 218 262 316 436 524 632 872 1048 1264 1744 2096 2528 3488 4192 5056 6976 8384 8611 10112 10349 13952 14279 16768 17222 20698 28558 34403 34444 41396 57116 68806 68888 82792 114232 137612 137776 165584 228464 275224 275552 331168 456928 550448 551104 662336 913856 1100896 1102208 1128041 1324672 1827712 2201792 2256082 2717837 3749927 4403584 4506793 4512164 5435674 7499854 9013586 9024328 10871348 14999708 18027172 18048656 21742696 29999416 36054344 36097312 43485392 59998832 72108688 72194624 86970784 119997664 144217376 144389248 173941568 239995328 288434752 296244233 347883136 356036647 479990656 491240437 576869504 592488466 712073294 982480874 1184976932 1424146588 1964961748 2369953864 2848293176 3929923496 4739907728 5696586352 7859846992 9479815456 11393172704 15719693984 18959630912 22786345408 31439387968 37919261824 38807994523 45572690816 62878775936 77615989046 155231978092 310463956184 620927912368 1241855824736 2483711649472 4967423298944