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10039062500 = 22510257
BaseRepresentation
bin10010101100101111…
…11110111111100100
3221220122021012210122
421112113332333210
5131030000000000
64340055541112
7503530423535
oct112627767744
927818235718
1010039062500
114291875275
121b4208a798
13c3cb1638c
146b341068c
153db527085
hex2565fefe4

10039062500 has 66 divisors (see below), whose sum is σ = 22045897986. Its totient is φ = 4000000000.

The previous prime is 10039062497. The next prime is 10039062521. The reversal of 10039062500 is 526093001.

It can be written as a sum of positive squares in 11 ways, for example, as 1827904 + 10037234596 = 1352^2 + 100186^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10039062500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 39062372 + ... + 39062628.

Almost surely, 210039062500 is an apocalyptic number.

10039062500 is a gapful number since it is divisible by the number (10) 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 10039062500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11022948993).

10039062500 is an abundant number, since it is smaller than the sum of its proper divisors (12006835486).

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

10039062500 is an frugal number, since it uses more digits than its factorization.

10039062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

It can be divided in two parts, 100 and 39062500, that multiplied together give a 4-th power (3906250000 = 2504).

The spelling of 10039062500 in words is "ten billion, thirty-nine million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 257 500 514 625 1028 1250 1285 2500 2570 3125 5140 6250 6425 12500 12850 15625 25700 31250 32125 62500 64250 78125 128500 156250 160625 312500 321250 390625 642500 781250 803125 1562500 1606250 1953125 3212500 3906250 4015625 7812500 8031250 9765625 16062500 19531250 20078125 39062500 40156250 80312500 100390625 200781250 401562500 501953125 1003906250 2007812500 2509765625 5019531250 10039062500