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3438436405650 = 2352131174984041
BaseRepresentation
bin110010000010010010110…
…001111101000110010010
3110011201012112201100201120
4302002102301331012102
5422313404204440100
611151332413143110
7503263442133561
oct62022261750622
913151175640646
103438436405650
111106261790584
1247648548aa96
131bc3212c352c
14bc5c7b2bbd8
155e6957170a0
hex32092c7d192

3438436405650 has 48 divisors (see below), whose sum is σ = 8592416398368. Its totient is φ = 909917008000.

The previous prime is 3438436405571. The next prime is 3438436405711. The reversal of 3438436405650 is 565046348343.

It is a junction number, because it is equal to n+sod(n) for n = 3438436405593 and 3438436405602.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87472371 + ... + 87511670.

It is an arithmetic number, because the mean of its divisors is an integer number (179008674966).

Almost surely, 23438436405650 is an apocalyptic number.

3438436405650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3438436405650 is an abundant number, since it is smaller than the sum of its proper divisors (5153979992718).

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

3438436405650 is a wasteful number, since it uses less digits than its factorization.

3438436405650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174984187 (or 174984182 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 51.

The spelling of 3438436405650 in words is "three trillion, four hundred thirty-eight billion, four hundred thirty-six million, four hundred five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 131 150 262 393 655 786 1310 1965 3275 3930 6550 9825 19650 174984041 349968082 524952123 874920205 1049904246 1749840410 2624760615 4374601025 5249521230 8749202050 13123803075 22922909371 26247606150 45845818742 68768728113 114614546855 137537456226 229229093710 343843640565 573072734275 687687281130 1146145468550 1719218202825 3438436405650