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10039439540 = 2251361016329
BaseRepresentation
bin10010101100110010…
…11011000010110100
3221220122222101000002
421112121123002310
5131030044031130
64340112010432
7503533554014
oct112631330264
927818871002
1010039439540
114292002579
121b42230a18
13c3cc18b90
146b34abc44
153db59db45
hex25665b0b4

10039439540 has 48 divisors (see below), whose sum is σ = 22711888080. Its totient is φ = 3705676800.

The previous prime is 10039439521. The next prime is 10039439567. The reversal of 10039439540 is 4593493001.

It can be written as a sum of positive squares in 8 ways, for example, as 37039396 + 10002400144 = 6086^2 + 100012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10039439494 and 10039439503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1583096 + ... + 1589424.

It is an arithmetic number, because the mean of its divisors is an integer number (473164335).

Almost surely, 210039439540 is an apocalyptic number.

10039439540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10039439540 is an abundant number, since it is smaller than the sum of its proper divisors (12672448540).

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

10039439540 is a wasteful number, since it uses less digits than its factorization.

10039439540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12452 (or 12450 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The spelling of 10039439540 in words is "ten billion, thirty-nine million, four hundred thirty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 6101 6329 12202 12658 24404 25316 30505 31645 61010 63290 79313 82277 122020 126580 158626 164554 317252 329108 396565 411385 793130 822770 1586260 1645540 38613229 77226458 154452916 193066145 386132290 501971977 772264580 1003943954 2007887908 2509859885 5019719770 10039439540