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106609244840 = 23572771374539
BaseRepresentation
bin110001101001001100…
…1111111101010101000
3101012011210002202201122
41203102121333222220
53221313431313330
6120550422034412
710462606425620
oct1432231775250
9335153082648
10106609244840
114123815961a
12187b3278a08
13a08cb8ccc7
145234b41880
152b8e5b95e5
hex18d267faa8

106609244840 has 64 divisors (see below), whose sum is σ = 275127926400. Its totient is φ = 36419758848.

The previous prime is 106609244783. The next prime is 106609244843. The reversal of 106609244840 is 48442906601.

106609244840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1066092448402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106609244791 and 106609244800.

It is not an unprimeable number, because it can be changed into a prime (106609244843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609710 + ... + 764829.

It is an arithmetic number, because the mean of its divisors is an integer number (4298873850).

Almost surely, 2106609244840 is an apocalyptic number.

106609244840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106609244840 is an abundant number, since it is smaller than the sum of its proper divisors (168518681560).

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

106609244840 is a wasteful number, since it uses less digits than its factorization.

106609244840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374834 (or 1374830 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 106609244840 in words is "one hundred six billion, six hundred nine million, two hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 277 280 554 1108 1385 1939 2216 2770 3878 5540 7756 9695 11080 15512 19390 38780 77560 1374539 2749078 5498156 6872695 9621773 10996312 13745390 19243546 27490780 38487092 48108865 54981560 76974184 96217730 192435460 380747303 384870920 761494606 1522989212 1903736515 2665231121 3045978424 3807473030 5330462242 7614946060 10660924484 13326155605 15229892120 21321848968 26652311210 53304622420 106609244840