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45533503323040 = 2553162691464371
BaseRepresentation
bin10100101101001100110000…
…10010100111101110100000
312222012221221010200000002111
422112212120102213232200
521432010103322314130
6240501445212325104
712406454442164065
oct1226463022475640
9188187833600074
1045533503323040
111356571762a557
125134846173794
131c53a389028a5
14b35b948b4c6c
1553e66e51202a
hex2969984a7ba0

45533503323040 has 96 divisors (see below), whose sum is σ = 111060784074240. Its totient is φ = 17623048627200.

The previous prime is 45533503323037. The next prime is 45533503323041. The reversal of 45533503323040 is 4032330533554.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 45533503322984 and 45533503323002.

It is not an unprimeable number, because it can be changed into a prime (45533503323041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30362055 + ... + 31826425.

It is an arithmetic number, because the mean of its divisors is an integer number (1156883167440).

Almost surely, 245533503323040 is an apocalyptic number.

45533503323040 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 45533503323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55530392037120).

45533503323040 is an abundant number, since it is smaller than the sum of its proper divisors (65527280751200).

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

45533503323040 is a wasteful number, since it uses less digits than its factorization.

45533503323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470686 (or 1470678 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 40.

Adding to 45533503323040 its reverse (4032330533554), we get a palindrome (49565833856594).

The spelling of 45533503323040 in words is "forty-five trillion, five hundred thirty-three billion, five hundred three million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 6269 12538 25076 31345 50152 62690 100304 125380 194339 200608 250760 388678 501520 777356 971695 1003040 1464371 1554712 1943390 2928742 3109424 3886780 5857484 6218848 7321855 7773560 11714968 14643710 15547120 23429936 29287420 31094240 45395501 46859872 58574840 90791002 117149680 181582004 226977505 234299360 363164008 453955010 726328016 907910020 1452656032 1815820040 3631640080 7263280160 9180141799 18360283598 36720567196 45900708995 73441134392 91801417990 146882268784 183602835980 284584395769 293764537568 367205671960 569168791538 734411343920 1138337583076 1422921978845 1468822687840 2276675166152 2845843957690 4553350332304 5691687915380 9106700664608 11383375830760 22766751661520 45533503323040