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2422474013904 = 243727780932173
BaseRepresentation
bin100011010000000110101…
…100111111110011010000
322120120211101020102021020
4203100012230333303100
5304142211321421104
65052511425155440
7340006110241350
oct43200654776320
98516741212236
102422474013904
1185440247749a
123315a978bb80
13147590cab799
1485369742b60
15430329382d9
hex23406b3fcd0

2422474013904 has 160 divisors (see below), whose sum is σ = 7186981789440. Its totient is φ = 688762884096.

The previous prime is 2422474013893. The next prime is 2422474013941. The reversal of 2422474013904 is 4093104742242.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75279162 + ... + 75311334.

It is an arithmetic number, because the mean of its divisors is an integer number (44918636184).

Almost surely, 22422474013904 is an apocalyptic number.

2422474013904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422474013904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593490894720).

2422474013904 is an abundant number, since it is smaller than the sum of its proper divisors (4764507775536).

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

2422474013904 is a wasteful number, since it uses less digits than its factorization.

2422474013904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33277 (or 33271 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 2422474013904 in words is "two trillion, four hundred twenty-two billion, four hundred seventy-four million, thirteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 277 336 554 809 831 1108 1618 1662 1939 2216 2427 3236 3324 3878 4432 4854 5663 5817 6472 6648 7756 9708 11326 11634 12944 13296 15512 16989 19416 22652 23268 31024 32173 33978 38832 45304 46536 64346 67956 90608 93072 96519 128692 135912 193038 224093 225211 257384 271824 386076 448186 450422 514768 672279 675633 772152 896372 900844 1344558 1351266 1544304 1568651 1792744 1801688 2689116 2702532 3137302 3585488 3603376 4705953 5378232 5405064 6274604 8911921 9411906 10756464 10810128 12549208 17823842 18823812 25098416 26027957 26735763 35647684 37647624 52055914 53471526 62383447 71295368 75295248 78083871 104111828 106943052 124766894 142590736 156167742 182195699 187150341 208223656 213886104 249533788 312335484 364391398 374300682 416447312 427772208 499067576 546587097 624670968 728782796 748601364 998135152 1093174194 1249341936 1457565592 1497202728 2186348388 2915131184 2994405456 4372696776 7209744089 8745393552 14419488178 21629232267 28838976356 43258464534 50468208623 57677952712 86516929068 100936417246 115355905424 151404625869 173033858136 201872834492 302809251738 346067716272 403745668984 605618503476 807491337968 1211237006952 2422474013904