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34452600080000 = 2754430657501
BaseRepresentation
bin1111101010101100111101…
…11111010100011010000000
311111222122011221021202021012
413311112132333110122000
514003432411110030000
6201135150031420052
710154055355532264
oct765263677243200
9144878157252235
1034452600080000
11aa832a1627713
123a4518a084628
13162bb351b61bb
1487172c6420a4
153eb2d041b735
hex1f559efd4680

34452600080000 has 80 divisors (see below), whose sum is σ = 85767594810810. Its totient is φ = 13781040000000.

The previous prime is 34452600079957. The next prime is 34452600080027. The reversal of 34452600080000 is 8000625443.

It can be written as a sum of positive squares in 5 ways, for example, as 595749335104 + 33856850744896 = 771848^2 + 5818664^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 215248751 + ... + 215408750.

Almost surely, 234452600080000 is an apocalyptic number.

It is an amenable number.

34452600080000 is an abundant number, since it is smaller than the sum of its proper divisors (51314994730810).

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

34452600080000 is an frugal number, since it uses more digits than its factorization.

34452600080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430657535 (or 430657508 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 34452600080000 in words is "thirty-four trillion, four hundred fifty-two billion, six hundred million, eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 430657501 861315002 1722630004 2153287505 3445260008 4306575010 6890520016 8613150020 10766437525 13781040032 17226300040 21532875050 27562080064 34452600080 43065750100 53832187625 55124160128 68905200160 86131500200 107664375250 137810400320 172263000400 215328750500 269160938125 275620800640 344526000800 430657501000 538321876250 689052001600 861315002000 1076643752500 1378104003200 1722630004000 2153287505000 3445260008000 4306575010000 6890520016000 8613150020000 17226300040000 34452600080000