Search a number
-
+
136437000390 = 232510125758403
BaseRepresentation
bin111111100010001000…
…1110110100011000110
3111001011112021202010200
41333010101312203012
54213410333003030
6142402302231330
712600015240225
oct1770421664306
9431145252120
10136437000390
1152954147869
1222538585546
13cb346682c2
146864350cbc
15383801cd60
hex1fc44768c6

136437000390 has 96 divisors (see below), whose sum is σ = 359648561376. Its totient is φ = 35882188800.

The previous prime is 136437000373. The next prime is 136437000443. The reversal of 136437000390 is 93000734631.

136437000390 is a `hidden beast` number, since 1 + 3 + 643 + 7 + 0 + 0 + 0 + 3 + 9 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2306929 + ... + 2365331.

It is an arithmetic number, because the mean of its divisors is an integer number (3746339181).

Almost surely, 2136437000390 is an apocalyptic number.

136437000390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136437000390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179824280688).

136437000390 is an abundant number, since it is smaller than the sum of its proper divisors (223211560986).

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

136437000390 is a wasteful number, since it uses less digits than its factorization.

136437000390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58774 (or 58771 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 136437000390 in words is "one hundred thirty-six billion, four hundred thirty-seven million, three hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 257 303 505 514 606 771 909 1010 1285 1515 1542 1818 2313 2570 3030 3855 4545 4626 7710 9090 11565 23130 25957 51914 58403 77871 116806 129785 155742 175209 233613 259570 292015 350418 389355 467226 525627 584030 778710 876045 1051254 1168065 1752090 2336130 2628135 5256270 5898703 11797406 15009571 17696109 29493515 30019142 35392218 45028713 53088327 58987030 75047855 88480545 90057426 106176654 135086139 150095710 176961090 225143565 265441635 270172278 450287130 530883270 675430695 1350861390 1515966671 3031933342 4547900013 7579833355 9095800026 13643700039 15159666710 22739500065 27287400078 45479000130 68218500195 136437000390