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145274273505264 = 2437347963864407
BaseRepresentation
bin100001000010000001001101…
…011101111001111111110000
3201001101002021220100100112010
4201002001031131321333300
5123020133203004132024
61232550025132402520
742412501632262011
oct4102011535717760
9631332256310463
10145274273505264
114231a523112802
1214363164316440
13630a3c77122c7
1427c3453159008
1511bddb5a41b29
hex84204d779ff0

145274273505264 has 80 divisors (see below), whose sum is σ = 380441229702912. Its totient is φ = 47760353938944.

The previous prime is 145274273505227. The next prime is 145274273505343. The reversal of 145274273505264 is 462505372472541.

It is a super-2 number, since 2×1452742735052642 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167630149 + ... + 168494555.

Almost surely, 2145274273505264 is an apocalyptic number.

It is an amenable number.

145274273505264 is an abundant number, since it is smaller than the sum of its proper divisors (235166956197648).

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

145274273505264 is a wasteful number, since it uses less digits than its factorization.

145274273505264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912454 (or 912448 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 57.

The spelling of 145274273505264 in words is "one hundred forty-five trillion, two hundred seventy-four billion, two hundred seventy-three million, five hundred five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3504 47963 95926 143889 191852 287778 383704 575556 767408 864407 1151112 1728814 2302224 2593221 3457628 3501299 5186442 6915256 7002598 10372884 10503897 13830512 14005196 20745768 21007794 28010392 41491536 42015588 56020784 63101711 84031176 126203422 168062352 189305133 252406844 378610266 504813688 757220532 1009627376 1514441064 3028882128 41459552941 82919105882 124378658823 165838211764 248757317646 331676423528 497514635292 663352847056 995029270584 1990058541168 3026547364693 6053094729386 9079642094079 12106189458772 18159284188158 24212378917544 36318568376316 48424757835088 72637136752632 145274273505264