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3641225049 = 337112891789
BaseRepresentation
bin1101100100001000…
…1010111101011001
3100101202121101202000
43121002022331121
524424123200144
61401152031213
7156142621320
oct33102127531
910352541660
103641225049
1115a9416300
12857532509
134604b5447
142678410b7
15164a06769
hexd908af59

3641225049 has 96 divisors (see below), whose sum is σ = 6856416000. Its totient is φ = 1869246720.

The previous prime is 3641225011. The next prime is 3641225083. The reversal of 3641225049 is 9405221463.

It is a happy number.

3641225049 is a `hidden beast` number, since 3 + 641 + 2 + 2 + 5 + 0 + 4 + 9 = 666.

3641225049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3641225049 - 28 = 3641224793 is a prime.

It is a super-3 number, since 3×36412250493 (a number of 30 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3641225449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2034447 + ... + 2036235.

It is an arithmetic number, because the mean of its divisors is an integer number (71421000).

Almost surely, 23641225049 is an apocalyptic number.

It is an amenable number.

3641225049 is a deficient number, since it is larger than the sum of its proper divisors (3215190951).

3641225049 is a wasteful number, since it uses less digits than its factorization.

3641225049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3641225049 is about 60342.5641566548. The cubic root of 3641225049 is about 1538.4468865690.

The spelling of 3641225049 in words is "three billion, six hundred forty-one million, two hundred twenty-five thousand, forty-nine".

Divisors: 1 3 7 9 11 21 27 33 63 77 89 99 121 189 231 267 297 363 623 693 801 847 979 1089 1789 1869 2079 2403 2541 2937 3267 5367 5607 6853 7623 8811 10769 12523 16101 16821 19679 20559 22869 26433 32307 37569 48303 59037 61677 75383 96921 112707 137753 159221 177111 185031 216469 226149 290763 338121 413259 477663 531333 649407 678447 1114547 1239777 1432989 1515283 1751431 1948221 2035341 3343641 3719331 4298967 4545849 5254293 5844663 10030923 12260017 13637547 15762879 19265741 30092769 36780051 40912641 47288637 57797223 110340153 134860187 173391669 331020459 404580561 520175007 1213741683 3641225049