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10226530624 = 265317916843
BaseRepresentation
bin10011000011000110…
…00111100101000000
3222101201000120201111
421201203013211000
5131420442434444
64410434013104
7511265035042
oct114143074500
928351016644
1010226530624
114378678902
121b94a17194
13c6c90356b
146d028da92
153ecc08234
hex2618c7940

10226530624 has 56 divisors (see below), whose sum is σ = 20792907360. Its totient is φ = 4988465664.

The previous prime is 10226530621. The next prime is 10226530637. The reversal of 10226530624 is 42603562201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10226530621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598747 + ... + 615589.

Almost surely, 210226530624 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 10226530624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10396453680).

10226530624 is an abundant number, since it is smaller than the sum of its proper divisors (10566376736).

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

10226530624 is a wasteful number, since it uses less digits than its factorization.

10226530624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17087 (or 17077 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 10226530624 in words is "ten billion, two hundred twenty-six million, five hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 179 212 358 424 716 848 1432 1696 2864 3392 5728 9487 11456 16843 18974 33686 37948 67372 75896 134744 151792 269488 303584 538976 607168 892679 1077952 1785358 3014897 3570716 6029794 7141432 12059588 14282864 24119176 28565728 48238352 57131456 96476704 159789541 192953408 319579082 639158164 1278316328 2556632656 5113265312 10226530624