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2555405045000 = 23543433148873
BaseRepresentation
bin100101001011111010000…
…000101000110100001000
3100001021221120102110200022
4211023322000220310020
5313331432142420000
65233534210400012
7352423214331023
oct45137200506410
910037846373608
102555405045000
118a581758a675
12353307b90008
13156c8719a432
148b97a1c01ba
1546712c6a585
hex252fa028d08

2555405045000 has 80 divisors (see below), whose sum is σ = 5989098296940. Its totient is φ = 1021857408000.

The previous prime is 2555405044993. The next prime is 2555405045003. The reversal of 2555405045000 is 5405045552.

It can be written as a sum of positive squares in 10 ways, for example, as 829749740836 + 1725655304164 = 910906^2 + 1313642^2 .

It is a super-2 number, since 2×25554050450002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2555405045003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17090564 + ... + 17239436.

Almost surely, 22555405045000 is an apocalyptic number.

2555405045000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2555405045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994549148470).

2555405045000 is an abundant number, since it is smaller than the sum of its proper divisors (3433693251940).

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

2555405045000 is a wasteful number, since it uses less digits than its factorization.

2555405045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152332 (or 152313 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 35.

The spelling of 2555405045000 in words is "two trillion, five hundred fifty-five billion, four hundred five million, forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3433 5000 6866 13732 17165 27464 34330 68660 85825 137320 148873 171650 297746 343300 429125 595492 686600 744365 858250 1190984 1488730 1716500 2145625 2977460 3433000 3721825 4291250 5954920 7443650 8582500 14887300 17165000 18609125 29774600 37218250 74436500 93045625 148873000 186091250 372182500 511081009 744365000 1022162018 2044324036 2555405045 4088648072 5110810090 10221620180 12777025225 20443240360 25554050450 51108100900 63885126125 102216201800 127770252250 255540504500 319425630625 511081009000 638851261250 1277702522500 2555405045000