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6453820040 = 2354713924697
BaseRepresentation
bin1100000001010110…
…10111101010001000
3121122210000000201212
412000223113222020
5101204134220130
62544223432252
7315634364603
oct60053275210
917583000655
106453820040
112812016578
121301455688
137bb102435
144531c333a
1527b8cce95
hex180ad7a88

6453820040 has 64 divisors (see below), whose sum is σ = 14937350400. Its totient is φ = 2508323328.

The previous prime is 6453819919. The next prime is 6453820049. The reversal of 6453820040 is 400283546.

It is a junction number, because it is equal to n+sod(n) for n = 6453819979 and 6453820006.

It is not an unprimeable number, because it can be changed into a prime (6453820049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248972 + ... + 273668.

It is an arithmetic number, because the mean of its divisors is an integer number (233396100).

Almost surely, 26453820040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6453820040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7468675200).

6453820040 is an abundant number, since it is smaller than the sum of its proper divisors (8483530360).

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

6453820040 is a wasteful number, since it uses less digits than its factorization.

6453820040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24894 (or 24890 counting only the distinct ones).

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

The square root of 6453820040 is about 80335.6710309934. The cubic root of 6453820040 is about 1861.8253980155.

The spelling of 6453820040 in words is "six billion, four hundred fifty-three million, eight hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 139 188 235 278 376 470 556 695 940 1112 1390 1880 2780 5560 6533 13066 24697 26132 32665 49394 52264 65330 98788 123485 130660 197576 246970 261320 493940 987880 1160759 2321518 3432883 4643036 5803795 6865766 9286072 11607590 13731532 17164415 23215180 27463064 34328830 46430360 68657660 137315320 161345501 322691002 645382004 806727505 1290764008 1613455010 3226910020 6453820040