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165054205020 = 223537241308501
BaseRepresentation
bin1001100110110111111…
…1110100110001011100
3120210000220121100212110
42121231333310301130
510201012334030040
6203454100234020
714632124410545
oct2315577646134
9523026540773
10165054205020
1163aa9883201
1227ba439b910
13127453c6893
147dbac854cc
15446054e980
hex266dff4c5c

165054205020 has 96 divisors (see below), whose sum is σ = 476613377856. Its totient is φ = 42647040000.

The previous prime is 165054205013. The next prime is 165054205021. The reversal of 165054205020 is 20502450561.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165054205021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 380770 + ... + 689270.

It is an arithmetic number, because the mean of its divisors is an integer number (4964722686).

Almost surely, 2165054205020 is an apocalyptic number.

165054205020 is a gapful number since it is divisible by the number (10) 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 165054205020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238306688928).

165054205020 is an abundant number, since it is smaller than the sum of its proper divisors (311559172836).

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

165054205020 is a wasteful number, since it uses less digits than its factorization.

165054205020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308791 (or 308789 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 165054205020 its reverse (20502450561), we get a palindrome (185556655581).

The spelling of 165054205020 in words is "one hundred sixty-five billion, fifty-four million, two hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 241 370 444 482 555 723 740 964 1110 1205 1446 2220 2410 2892 3615 4820 7230 8917 14460 17834 26751 35668 44585 53502 89170 107004 133755 178340 267510 308501 535020 617002 925503 1234004 1542505 1851006 3085010 3702012 4627515 6170020 9255030 11414537 18510060 22829074 34243611 45658148 57072685 68487222 74348741 114145370 136974444 148697482 171218055 223046223 228290740 297394964 342436110 371743705 446092446 684872220 743487410 892184892 1115231115 1486974820 2230462230 2750903417 4460924460 5501806834 8252710251 11003613668 13754517085 16505420502 27509034170 33010841004 41263551255 55018068340 82527102510 165054205020