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2545678900 = 2252195922709
BaseRepresentation
bin1001011110111011…
…1111101000110100
320120102010212221201
42113232333220310
520203143211100
61100334422244
7120040625242
oct22756775064
96512125851
102545678900
111096a73266
125b0661984
13317533a9b
141a2141792
15ed75036a
hex97bbfa34

2545678900 has 72 divisors (see below), whose sum is σ = 5913684000. Its totient is φ = 948286080.

The previous prime is 2545678859. The next prime is 2545678937. The reversal of 2545678900 is 98765452.

It is a zygodrome in base 6.

It is a congruent number.

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, 100746 + ... + 123454.

It is an arithmetic number, because the mean of its divisors is an integer number (82134500).

Almost surely, 22545678900 is an apocalyptic number.

2545678900 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 2545678900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956842000).

2545678900 is an abundant number, since it is smaller than the sum of its proper divisors (3368005100).

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

2545678900 is a wasteful number, since it uses less digits than its factorization.

2545678900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22801 (or 22794 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The square root of 2545678900 is about 50454.7212855249. The cubic root of 2545678900 is about 1365.4250756977.

The spelling of 2545678900 in words is "two billion, five hundred forty-five million, six hundred seventy-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 59 76 95 100 118 190 236 295 380 475 590 950 1121 1180 1475 1900 2242 2950 4484 5605 5900 11210 22420 22709 28025 45418 56050 90836 112100 113545 227090 431471 454180 567725 862942 1135450 1339831 1725884 2157355 2270900 2679662 4314710 5359324 6699155 8629420 10786775 13398310 21573550 25456789 26796620 33495775 43147100 50913578 66991550 101827156 127283945 133983100 254567890 509135780 636419725 1272839450 2545678900