Search a number
-
+
35056826490 = 2357373487919
BaseRepresentation
bin100000101001100011…
…001011100001111010
310100111011121022020010
4200221203023201322
51033244021421430
624034353242350
72350512052140
oct405143134172
9110434538203
1035056826490
111395a734684
1269645633b6
1333c8c2c31a
1419a7c9d590
15da2a57cb0
hex8298cb87a

35056826490 has 128 divisors (see below), whose sum is σ = 96716759040. Its totient is φ = 7966418688.

The previous prime is 35056826479. The next prime is 35056826491. The reversal of 35056826490 is 9462865053.

It is not an unprimeable number, because it can be changed into a prime (35056826491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38146251 + ... + 38147169.

It is an arithmetic number, because the mean of its divisors is an integer number (755599680).

Almost surely, 235056826490 is an apocalyptic number.

35056826490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35056826490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48358379520).

35056826490 is an abundant number, since it is smaller than the sum of its proper divisors (61659932550).

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

35056826490 is a wasteful number, since it uses less digits than its factorization.

35056826490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796.

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 35056826490 in words is "thirty-five billion, fifty-six million, eight hundred twenty-six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 373 487 746 919 974 1119 1461 1838 1865 2238 2435 2611 2757 2922 3409 3730 4595 4870 5222 5514 5595 6433 6818 7305 7833 9190 10227 11190 12866 13055 13785 14610 15666 17045 19299 20454 26110 27570 32165 34090 38598 39165 51135 64330 78330 96495 102270 181651 192990 342787 363302 447553 544953 685574 895106 908255 1028361 1089906 1271557 1342659 1713935 1816510 2056722 2237765 2399509 2543114 2685318 2724765 3132871 3427870 3814671 4475530 4799018 5141805 5449530 6265742 6357785 6713295 7198527 7629342 9398613 10283610 11997545 12715570 13426590 14397054 15664355 18797226 19073355 23995090 31328710 35992635 38146710 46993065 71985270 93986130 166937269 333874538 500811807 834686345 1001623614 1168560883 1669372690 2337121766 2504059035 3505682649 5008118070 5842804415 7011365298 11685608830 17528413245 35056826490