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26303100040 = 2357213419949
BaseRepresentation
bin11000011111110010…
…010111010010001000
32111220002220221000101
4120133302113102020
5412332043200130
620030010415144
71620546442600
oct303762272210
974802827011
1026303100040
1110178461408
125120a314b4
1326324b8529
1413b7473c00
15a3e2c61ca
hex61fc97488

26303100040 has 48 divisors (see below), whose sum is σ = 68844343500. Its totient is φ = 9018205056.

The previous prime is 26303100023. The next prime is 26303100041. The reversal of 26303100040 is 4000130362.

It can be written as a sum of positive squares in 2 ways, for example, as 25396247044 + 906852996 = 159362^2 + 30114^2 .

It is a junction number, because it is equal to n+sod(n) for n = 26303099990 and 26303100017.

It is not an unprimeable number, because it can be changed into a prime (26303100041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6708015 + ... + 6711934.

Almost surely, 226303100040 is an apocalyptic number.

26303100040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26303100040 is an abundant number, since it is smaller than the sum of its proper divisors (42541243460).

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

26303100040 is a wasteful number, since it uses less digits than its factorization.

26303100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13419974 (or 13419963 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The spelling of 26303100040 in words is "twenty-six billion, three hundred three million, one hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 13419949 26839898 53679796 67099745 93939643 107359592 134199490 187879286 268398980 375758572 469698215 536797960 657577501 751517144 939396430 1315155002 1878792860 2630310004 3287887505 3757585720 5260620008 6575775010 13151550020 26303100040