Search a number
-
+
10220026560198 = 23713212491152799
BaseRepresentation
bin1001010010111000100100…
…0011010111111011000110
31100012000200020000121022120
42110232021003113323012
52314421103244411243
633423003153510410
72103241533266220
oct224561103277306
940160606017276
1010220026560198
11329031a615314
121190862272406
1359198a4c1700
1427491ac4b410
1512aca662cc83
hex94b890d7ec6

10220026560198 has 96 divisors (see below), whose sum is σ = 25315488000000. Its totient is φ = 2693231244288.

The previous prime is 10220026560197. The next prime is 10220026560221. The reversal of 10220026560198 is 89106562002201.

10220026560198 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220026560197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8289003 + ... + 9441801.

It is an arithmetic number, because the mean of its divisors is an integer number (263703000000).

Almost surely, 210220026560198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220026560198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12657744000000).

10220026560198 is an abundant number, since it is smaller than the sum of its proper divisors (15095461439802).

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

10220026560198 is a wasteful number, since it uses less digits than its factorization.

10220026560198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154086 (or 1154073 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

Adding to 10220026560198 its reverse (89106562002201), we get a palindrome (99326588562399).

The spelling of 10220026560198 in words is "ten trillion, two hundred twenty billion, twenty-six million, five hundred sixty thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 507 546 1014 1183 1249 2366 2498 3549 3747 7098 7494 8743 16237 17486 26229 32474 48711 52458 97422 113659 211081 227318 340977 422162 633243 681954 1152799 1266486 1477567 2305598 2955134 3458397 4432701 6916794 8069593 8865402 14986387 16139186 24208779 29972774 44959161 48417558 89918322 104904709 194823031 209809418 314714127 389646062 584469093 629428254 1168938186 1363761217 1439845951 2727522434 2879691902 4091283651 4319537853 8182567302 8639075706 10078921657 18717997363 20157843314 30236764971 37435994726 56153992089 60473529942 112307984178 131025981541 243333965719 262051963082 393077944623 486667931438 730001897157 786155889246 1460003794314 1703337760033 3406675520066 5110013280099 10220026560198