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145046653632 = 26321714812771
BaseRepresentation
bin1000011100010101110…
…1000100101011000000
3111212101112212110001200
42013011131010223000
54334023420404012
6150344501101200
713323251133126
oct2070535045300
9455345773050
10145046653632
1156572066771
122413b9b7800
13108a72a6a8a
14703d995916
153b8dce13dc
hex21c5744ac0

145046653632 has 84 divisors (see below), whose sum is σ = 440205958296. Its totient is φ = 45504829440.

The previous prime is 145046653621. The next prime is 145046653669. The reversal of 145046653632 is 236356640541.

145046653632 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 4 + 6 + 6 + 5 + 3 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7396594 + ... + 7416177.

Almost surely, 2145046653632 is an apocalyptic number.

145046653632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145046653632 is an abundant number, since it is smaller than the sum of its proper divisors (295159304664).

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

145046653632 is a wasteful number, since it uses less digits than its factorization.

145046653632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14812806 (or 14812793 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 145046653632 in words is "one hundred forty-five billion, forty-six million, six hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 14812771 29625542 44438313 59251084 88876626 118502168 133314939 177753252 237004336 251817107 266629878 355506504 474008672 503634214 533259756 711013008 755451321 948017344 1007268428 1066519512 1422026016 1510902642 2014536856 2133039024 2266353963 2844052032 3021805284 4029073712 4266078048 4532707926 6043610568 8058147424 8532156096 9065415852 12087221136 16116294848 18130831704 24174442272 36261663408 48348884544 72523326816 145046653632