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10045960000 = 2654251149
BaseRepresentation
bin10010101101100100…
…10010111101000000
3221221010020122101121
421112302102331000
5131033231210000
64340503442024
7503643152056
oct112662227500
927833218347
1010045960000
11429575648a
121b44456314
13c4138ca3b
146b42c81d6
153dbe3ab1a
hex256c92f40

10045960000 has 70 divisors (see below), whose sum is σ = 24910815050. Its totient is φ = 4018368000.

The previous prime is 10045959949. The next prime is 10045960019. The reversal of 10045960000 is 6954001.

It can be written as a sum of positive squares in 5 ways, for example, as 2014932544 + 8031027456 = 44888^2 + 89616^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 85575 + ... + 165574.

Almost surely, 210045960000 is an apocalyptic number.

10045960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10045960000 is an abundant number, since it is smaller than the sum of its proper divisors (14864855050).

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

10045960000 is an frugal number, since it uses more digits than its factorization.

10045960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251181 (or 251156 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 10045960000 in words is "ten billion, forty-five million, nine hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 251149 502298 1004596 1255745 2009192 2511490 4018384 5022980 6278725 8036768 10045960 12557450 16073536 20091920 25114900 31393625 40183840 50229800 62787250 80367680 100459600 125574500 156968125 200919200 251149000 313936250 401838400 502298000 627872500 1004596000 1255745000 2009192000 2511490000 5022980000 10045960000