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45002264163040 = 2552774871208457
BaseRepresentation
bin10100011101101111001111…
…11110000011001011100000
312220100011201011110112112001
422032313213332003023200
521344304114111204130
6235413431005413344
712323210025631252
oct1216674776031340
9186304634415461
1045002264163040
1113380397a05858
1250698a726a254
131c15906767172
14b1819a841cd2
1553092b0d16ca
hex28ede7f832e0

45002264163040 has 96 divisors (see below), whose sum is σ = 106724085499584. Its totient is φ = 17932152238080.

The previous prime is 45002264163037. The next prime is 45002264163083. The reversal of 45002264163040 is 4036146220054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215778492 + ... + 215986948.

It is an arithmetic number, because the mean of its divisors is an integer number (1111709223954).

Almost surely, 245002264163040 is an apocalyptic number.

45002264163040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45002264163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53362042749792).

45002264163040 is an abundant number, since it is smaller than the sum of its proper divisors (61721821336544).

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

45002264163040 is a wasteful number, since it uses less digits than its factorization.

45002264163040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213620 (or 213612 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 45002264163040 in words is "forty-five trillion, two billion, two hundred sixty-four million, one hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 277 554 1108 1385 2216 2770 4432 4871 5540 8864 9742 11080 19484 22160 24355 38968 44320 48710 77936 97420 155872 194840 208457 389680 416914 779360 833828 1042285 1349267 1667656 2084570 2698534 3335312 4169140 5397068 6670624 6746335 8338280 10794136 13492670 16676560 21588272 26985340 33353120 43176544 53970680 57742589 107941360 115485178 215882720 230970356 288712945 461940712 577425890 923881424 1015394047 1154851780 1847762848 2030788094 2309703560 4061576188 4619407120 5076970235 8123152376 9238814240 10153940470 16246304752 20307880940 32492609504 40615761880 81231523760 162463047520 281264151019 562528302038 1125056604076 1406320755095 2250113208152 2812641510190 4500226416304 5625283020380 9000452832608 11250566040760 22501132081520 45002264163040