Search a number
-
+
1026521270244 = 22321719677130399
BaseRepresentation
bin11101111000000010110…
…11111000011111100100
310122010122000212112202100
432330001123320133210
5113304303421121434
62103324413212100
7134110103554431
oct16740133703744
93563560775670
101026521270244
1136638854a858
12146b43a91030
1375a53a30962
143798086cb88
151ba7ec85699
hexef016f87e4

1026521270244 has 144 divisors (see below), whose sum is σ = 2896350912000. Its totient is φ = 304643109888.

The previous prime is 1026521270237. The next prime is 1026521270267. The reversal of 1026521270244 is 4420721256201.

1026521270244 is a `hidden beast` number, since 1 + 0 + 26 + 521 + 2 + 70 + 2 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1026521270199 and 1026521270208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7806957 + ... + 7937355.

It is an arithmetic number, because the mean of its divisors is an integer number (20113548000).

Almost surely, 21026521270244 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 1026521270244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448175456000).

1026521270244 is an abundant number, since it is smaller than the sum of its proper divisors (1869829641756).

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

1026521270244 is a wasteful number, since it uses less digits than its factorization.

1026521270244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131122 (or 131117 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 1026521270244 in words is "one trillion, twenty-six billion, five hundred twenty-one million, two hundred seventy thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 677 684 969 1292 1354 1938 2031 2708 2907 3876 4062 5814 6093 8124 11509 11628 12186 12863 23018 24372 25726 34527 38589 46036 51452 69054 77178 103581 115767 130399 138108 154356 207162 218671 231534 260798 391197 414324 437342 463068 521596 656013 782394 874684 1173591 1312026 1564788 1968039 2216783 2347182 2477581 2624052 3936078 4433566 4694364 4955162 6650349 7432743 7872156 8867132 9910324 13300698 14865486 19951047 22298229 26601396 29730972 39902094 42118877 44596458 79804188 84237754 88280123 89192916 126356631 168475508 176560246 252713262 264840369 353120492 379069893 505426524 529680738 758139786 794521107 1059361476 1500762091 1516279572 1589042214 1677322337 3001524182 3178084428 3354644674 4502286273 5031967011 6003048364 6709289348 9004572546 10063934022 13506858819 15095901033 18009145092 20127868044 27013717638 28514479729 30191802066 54027435276 57028959458 60383604132 85543439187 114057918916 171086878374 256630317561 342173756748 513260635122 1026521270244