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10240645426000 = 2453111034519261
BaseRepresentation
bin1001010100000101011000…
…0010000110101101010000
31100020222220012001111211221
42111001112002012231100
52320240320212113000
633440253151414424
72104601511615463
oct225012602065520
940228805044757
1010240645426000
113299040408380
121194857524414
135938c516c012
142759153cb2da
1512b5b189161a
hex95056086b50

10240645426000 has 160 divisors (see below), whose sum is σ = 27275228487936. Its totient is φ = 3687716160000.

The previous prime is 10240645425821. The next prime is 10240645426001. The reversal of 10240645426000 is 62454604201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240645426001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6370 + ... + 4525630.

Almost surely, 210240645426000 is an apocalyptic number.

10240645426000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10240645426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13637614243968).

10240645426000 is an abundant number, since it is smaller than the sum of its proper divisors (17034583061936).

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

10240645426000 is a wasteful number, since it uses less digits than its factorization.

10240645426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519398 (or 4519382 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 10240645426000 in words is "ten trillion, two hundred forty billion, six hundred forty-five million, four hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 103 110 125 176 200 206 220 250 275 400 412 440 500 515 550 824 880 1000 1030 1100 1133 1375 1648 2000 2060 2200 2266 2575 2750 4120 4400 4532 5150 5500 5665 8240 9064 10300 11000 11330 12875 18128 20600 22000 22660 25750 28325 41200 45320 51500 56650 90640 103000 113300 141625 206000 226600 283250 453200 566500 1133000 2266000 4519261 9038522 18077044 22596305 36154088 45192610 49711871 72308176 90385220 99423742 112981525 180770440 198847484 225963050 248559355 361540880 397694968 451926100 465483883 497118710 564907625 795389936 903852200 930967766 994237420 1129815250 1242796775 1807704400 1861935532 1988474840 2259630500 2327419415 2485593550 3723871064 3976949680 4519261000 4654838830 4971187100 5120322713 6213983875 7447742128 9038522000 9309677660 9942374200 10240645426 11637097075 12427967750 18619355320 19884748400 20481290852 23274194150 24855935500 25601613565 37238710640 40962581704 46548388300 49711871000 51203227130 58185485375 81925163408 93096776600 99423742000 102406454260 116370970750 128008067825 186193553200 204812908520 232741941500 256016135650 409625817040 465483883000 512032271300 640040339125 930967766000 1024064542600 1280080678250 2048129085200 2560161356500 5120322713000 10240645426000