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10630625000 = 235773233
BaseRepresentation
bin10011110011010001…
…00111011011101000
31000102212101200222212
421321220213123220
5133232420000000
64514511104252
7524302551542
oct117150473350
930385350885
1010630625000
11456578a9a6
122088212088
131005549668
1472bbdc692
15423429c35
hex279a276e8

10630625000 has 128 divisors (see below), whose sum is σ = 25365169440. Its totient is φ = 4176000000.

The previous prime is 10630624987. The next prime is 10630625003. The reversal of 10630625000 is 52603601.

It can be written as a sum of positive squares in 16 ways, for example, as 10082971396 + 547653604 = 100414^2 + 23402^2 .

It is a super-2 number, since 2×106306250002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10630625003) 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, 45624884 + ... + 45625116.

Almost surely, 210630625000 is an apocalyptic number.

10630625000 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 10630625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12682584720).

10630625000 is an abundant number, since it is smaller than the sum of its proper divisors (14734544440).

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

10630625000 is an frugal number, since it uses more digits than its factorization.

10630625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The spelling of 10630625000 in words is "ten billion, six hundred thirty million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 233 250 292 365 466 500 584 625 730 932 1000 1165 1250 1460 1825 1864 2330 2500 2920 3125 3650 4660 5000 5825 6250 7300 9125 9320 11650 12500 14600 15625 17009 18250 23300 25000 29125 31250 34018 36500 45625 46600 58250 62500 68036 73000 78125 85045 91250 116500 125000 136072 145625 156250 170090 182500 228125 233000 291250 312500 340180 365000 425225 456250 582500 625000 680360 728125 850450 912500 1140625 1165000 1456250 1700900 1825000 2126125 2281250 2912500 3401800 3640625 4252250 4562500 5703125 5825000 7281250 8504500 9125000 10630625 11406250 14562500 17009000 18203125 21261250 22812500 29125000 36406250 42522500 45625000 53153125 72812500 85045000 106306250 145625000 212612500 265765625 425225000 531531250 1063062500 1328828125 2126125000 2657656250 5315312500 10630625000