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41554132000 = 255315766169
BaseRepresentation
bin100110101100110100…
…011011110000100000
310222020222102121210221
4212230310123300200
51140100324211000
631031213132424
73000515202613
oct465464336040
9128228377727
1041554132000
1116694251457
12807848a114
133bc30488b4
142022b6217a
15113317561a
hex9acd1bc20

41554132000 has 96 divisors (see below), whose sum is σ = 102750364080. Its totient is φ = 16515532800.

The previous prime is 41554131989. The next prime is 41554132003. The reversal of 41554132000 is 23145514.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 184199184 + 41369932816 = 13572^2 + 203396^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (41554132003) 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, 594916 + ... + 661084.

Almost surely, 241554132000 is an apocalyptic number.

41554132000 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 41554132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51375182040).

41554132000 is an abundant number, since it is smaller than the sum of its proper divisors (61196232080).

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

41554132000 is a wasteful number, since it uses less digits than its factorization.

41554132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66351 (or 66333 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 41554132000 its reverse (23145514), we get a palindrome (41577277514).

The spelling of 41554132000 in words is "forty-one billion, five hundred fifty-four million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 157 160 200 250 314 400 500 628 785 800 1000 1256 1570 2000 2512 3140 3925 4000 5024 6280 7850 12560 15700 19625 25120 31400 39250 62800 66169 78500 125600 132338 157000 264676 314000 330845 529352 628000 661690 1058704 1323380 1654225 2117408 2646760 3308450 5293520 6616900 8271125 10388533 10587040 13233800 16542250 20777066 26467600 33084500 41554132 51942665 52935200 66169000 83108264 103885330 132338000 166216528 207770660 259713325 264676000 332433056 415541320 519426650 831082640 1038853300 1298566625 1662165280 2077706600 2597133250 4155413200 5194266500 8310826400 10388533000 20777066000 41554132000