Search a number
-
+
1026250364364 = 2231771137517183
BaseRepresentation
bin11101110111100010100…
…10011101010111001100
310122002221011010002202020
432323301102131113030
5113303230043124424
62103241454530140
7134100304111401
oct16736122352714
93562834102666
101026250364364
113662596381a5
12146a89206950
1375a0c87b714
14379568b02a8
151ba660c2079
hexeef149d5cc

1026250364364 has 96 divisors (see below), whose sum is σ = 2589925072896. Its totient is φ = 315108648960.

The previous prime is 1026250364329. The next prime is 1026250364389. The reversal of 1026250364364 is 4634630526201.

It is a happy number.

It is a super-3 number, since 3×10262503643643 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1725717 + ... + 2242899.

It is an arithmetic number, because the mean of its divisors is an integer number (26978386176).

Almost surely, 21026250364364 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 1026250364364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294962536448).

1026250364364 is an abundant number, since it is smaller than the sum of its proper divisors (1563674708532).

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

1026250364364 is a wasteful number, since it uses less digits than its factorization.

1026250364364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517415 (or 517413 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 1026250364364 in words is "one trillion, twenty-six billion, two hundred fifty million, three hundred sixty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 137 142 204 213 274 284 411 426 548 822 852 1207 1644 2329 2414 3621 4658 4828 6987 7242 9316 9727 13974 14484 19454 27948 29181 38908 58362 116724 165359 330718 496077 517183 661436 992154 1034366 1551549 1984308 2068732 3103098 6206196 8792111 17584222 26376333 35168444 36719993 52752666 70854071 73439986 105505332 110159979 141708142 146879972 212562213 220319958 283416284 425124426 440639916 624239881 850248852 1204519207 1248479762 1872719643 2409038414 2496959524 3613557621 3745439286 4818076828 5030639041 7227115242 7490878572 10061278082 14454230484 15091917123 20122556164 30183834246 60367668492 85520863697 171041727394 256562591091 342083454788 513125182182 1026250364364