Search a number
-
+
10449781020 = 2232578293477
BaseRepresentation
bin10011011101101101…
…10000000100011100
3222222021002212200200
421232312300010130
5132400120443040
64444531023500
7516645446610
oct115666600434
928867085620
1010449781020
1144826a1168
12203773ab90
13ca6c3b5a3
14711ba5340
15412606630
hex26edb011c

10449781020 has 72 divisors (see below), whose sum is σ = 36225911904. Its totient is φ = 2388521088.

The previous prime is 10449781019. The next prime is 10449781021. The reversal of 10449781020 is 2018794401.

It is an interprime number because it is at equal distance from previous prime (10449781019) and next prime (10449781021).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10449781021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4145479 + ... + 4147998.

Almost surely, 210449781020 is an apocalyptic number.

10449781020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10449781020 is an abundant number, since it is smaller than the sum of its proper divisors (25776130884).

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

10449781020 is a wasteful number, since it uses less digits than its factorization.

10449781020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8293499 (or 8293494 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10449781020 in words is "ten billion, four hundred forty-nine million, seven hundred eighty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 8293477 16586954 24880431 33173908 41467385 49760862 58054339 74641293 82934770 99521724 116108678 124402155 149282586 165869540 174163017 232217356 248804310 290271695 298565172 348326034 373206465 497608620 522489051 580543390 696652068 746412930 870815085 1044978102 1161086780 1492825860 1741630170 2089956204 2612445255 3483260340 5224890510 10449781020