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45422499422454 = 23711101990198317
BaseRepresentation
bin10100101001111101111111…
…11100010110000011110110
312221211100102002020121000020
422110332333330112003312
521423200234323004304
6240334450321430010
712365444610455550
oct1224767774260366
9187740362217006
1045422499422454
1113522634842040
12511722719b306
131c4642843128b
14b3066424a4d0
1553b8242175d9
hex294fbff160f6

45422499422454 has 128 divisors (see below), whose sum is σ = 114395412409344. Its totient is φ = 11679940800000.

The previous prime is 45422499422437. The next prime is 45422499422471.

45422499422454 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (45422499422437) and next prime (45422499422471).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461951304 + ... + 462049620.

It is an arithmetic number, because the mean of its divisors is an integer number (893714159448).

Almost surely, 245422499422454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45422499422454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57197706204672).

45422499422454 is an abundant number, since it is smaller than the sum of its proper divisors (68972912986890).

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

45422499422454 is a wasteful number, since it uses less digits than its factorization.

45422499422454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108342.

The product of its digits is 132710400, while the sum is 60.

The spelling of 45422499422454 in words is "forty-five trillion, four hundred twenty-two billion, four hundred ninety-nine million, four hundred twenty-two thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 101 154 202 231 303 462 606 707 1111 1414 2121 2222 3333 4242 6666 7777 9901 15554 19802 23331 29703 46662 59406 69307 98317 108911 138614 196634 207921 217822 294951 326733 415842 589902 653466 688219 762377 1000001 1081487 1376438 1524754 2000002 2064657 2162974 2287131 3000003 3244461 4129314 4574262 6000006 6488922 7000007 7570409 9930017 11000011 14000014 15140818 19860034 21000021 22000022 22711227 29790051 33000033 42000042 45422454 59580102 66000066 69510119 77000077 109230187 139020238 154000154 208530357 218460374 231000231 327690561 417060714 462000462 655381122 764611309 973436617 1529222618 1946873234 2293833927 2920309851 4587667854 5840619702 6814056319 10707802787 13628112638 20442168957 21415605574 32123408361 40884337914 64246816722 74954619509 98317098317 149909239018 196634196634 224863858527 294951294951 449727717054 589902589902 688219688219 1081488081487 1376439376438 2064659064657 2162976162974 3244464244461 4129318129314 6488928488922 7570416570409 15140833140818 22711249711227 45422499422454