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10039238416 = 243726772
BaseRepresentation
bin10010101100110001…
…01001111100010000
3221220122121011010001
421112120221330100
5131030021112131
64340103415344
7503532055444
oct112630517420
927818534101
1010039238416
114291985459
121b42154554
13c3cb7847c
146b3458824
153db55e261
hex256629f10

10039238416 has 45 divisors (see below), whose sum is σ = 20020508319. Its totient is φ = 4876739712.

The previous prime is 10039238413. The next prime is 10039238437. The reversal of 10039238416 is 61483293001.

The square root of 10039238416 is 100196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8464736016 + 1574502400 = 92004^2 + 39680^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10039238413) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14828670 + ... + 14829346.

Almost surely, 210039238416 is an apocalyptic number.

10039238416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10039238416 is the 100196-th square number.

It is an amenable number.

10039238416 is a deficient number, since it is larger than the sum of its proper divisors (9981269903).

10039238416 is an frugal number, since it uses more digits than its factorization.

10039238416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 10039238416 in words is "ten billion, thirty-nine million, two hundred thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 37 74 148 296 592 677 1354 1369 2708 2738 5416 5476 10832 10952 21904 25049 50098 100196 200392 400784 458329 916658 926813 1833316 1853626 3666632 3707252 7333264 7414504 14829008 16958173 33916346 67832692 135665384 271330768 627452401 1254904802 2509809604 5019619208 10039238416