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41312745100 = 22521175749613
BaseRepresentation
bin100110011110011011…
…100111011010001100
310221122011012220020101
4212132123213122030
51134102030320400
630551231300444
72661524352664
oct463633473214
9127564186211
1041312745100
111657aa70950
12800b67a724
133b85030703
141ddca891a4
15111bd9356a
hex99e6e768c

41312745100 has 72 divisors (see below), whose sum is σ = 97929700848. Its totient is φ = 15002668800.

The previous prime is 41312745077. The next prime is 41312745157. The reversal of 41312745100 is 154721314.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807894 + ... + 857506.

It is an arithmetic number, because the mean of its divisors is an integer number (1360134734).

Almost surely, 241312745100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41312745100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48964850424).

41312745100 is an abundant number, since it is smaller than the sum of its proper divisors (56616955748).

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

41312745100 is a wasteful number, since it uses less digits than its factorization.

41312745100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50395 (or 50388 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 41312745100 in words is "forty-one billion, three hundred twelve million, seven hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 757 1100 1514 3028 3785 7570 8327 15140 16654 18925 33308 37850 41635 49613 75700 83270 99226 166540 198452 208175 248065 416350 496130 545743 832700 992260 1091486 1240325 2182972 2480650 2728715 4961300 5457430 10914860 13643575 27287150 37557041 54574300 75114082 150228164 187785205 375570410 413127451 751140820 826254902 938926025 1652509804 1877852050 2065637255 3755704100 4131274510 8262549020 10328186275 20656372550 41312745100