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3641423625 = 325371924337
BaseRepresentation
bin1101100100001011…
…1011011100001001
3100101202222111010200
43121002323130021
524424201024000
61401200202413
7156144406260
oct33102733411
910352874120
103641423625
1115a9541514
12857609409
13460554948
142678935d7
15164a45500
hexd90bb709

3641423625 has 96 divisors (see below), whose sum is σ = 7897194240. Its totient is φ = 1576972800.

The previous prime is 3641423603. The next prime is 3641423633. The reversal of 3641423625 is 5263241463.

3641423625 is a `hidden beast` number, since 3 + 6 + 4 + 1 + 4 + 23 + 625 = 666.

3641423625 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3641423625 - 27 = 3641423497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3641423625.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137457 + ... + 161793.

It is an arithmetic number, because the mean of its divisors is an integer number (82262440).

Almost surely, 23641423625 is an apocalyptic number.

3641423625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3641423625 is an abundant number, since it is smaller than the sum of its proper divisors (4255770615).

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

3641423625 is a wasteful number, since it uses less digits than its factorization.

3641423625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24384 (or 24371 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3641423625 is about 60344.2095399385. The cubic root of 3641423625 is about 1538.4748527133.

The spelling of 3641423625 in words is "three billion, six hundred forty-one million, four hundred twenty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 125 133 171 175 225 285 315 375 399 475 525 665 855 875 1125 1197 1425 1575 1995 2375 2625 3325 4275 5985 7125 7875 9975 16625 21375 24337 29925 49875 73011 121685 149625 170359 219033 365055 462403 511077 608425 851795 1095165 1387209 1533231 1825275 2312015 2555385 3042125 3236821 4161627 4258975 5475825 6936045 7666155 9126375 9710463 11560075 12776925 16184105 20808135 21294875 27379125 29131389 34680225 38330775 48552315 57800375 63884625 80920525 104040675 145656945 173401125 191653875 242761575 404602625 520203375 728284725 1213807875 3641423625