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41948917350 = 2352895036247
BaseRepresentation
bin100111000100010110…
…011010111001100110
311000021111021210111120
4213010112122321212
51141402410323400
631134314514410
73013350625404
oct470426327146
9130244253446
1041948917350
111687708553a
128168735a06
133c56a827b2
14205d36a474
151157b58ca0
hex9c459ae66

41948917350 has 96 divisors (see below), whose sum is σ = 105428252160. Its totient is φ = 11036931840.

The previous prime is 41948917321. The next prime is 41948917501. The reversal of 41948917350 is 5371984914.

41948917350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41948917293 and 41948917302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6711927 + ... + 6718173.

It is an arithmetic number, because the mean of its divisors is an integer number (1098210960).

Almost surely, 241948917350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41948917350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52714126080).

41948917350 is an abundant number, since it is smaller than the sum of its proper divisors (63479334810).

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

41948917350 is a wasteful number, since it uses less digits than its factorization.

41948917350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6854 (or 6849 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 41948917350 in words is "forty-one billion, nine hundred forty-eight million, nine hundred seventeen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 89 150 178 267 445 503 534 890 1006 1335 1509 2225 2515 2670 3018 4450 5030 6247 6675 7545 12494 12575 13350 15090 18741 25150 31235 37482 37725 44767 62470 75450 89534 93705 134301 156175 187410 223835 268602 312350 447670 468525 555983 671505 937050 1111966 1119175 1343010 1667949 2238350 2779915 3142241 3335898 3357525 5559830 6284482 6715050 8339745 9426723 13899575 15711205 16679490 18853446 27799150 31422410 41698725 47133615 78556025 83397450 94267230 157112050 235668075 279659449 471336150 559318898 838978347 1398297245 1677956694 2796594490 4194891735 6991486225 8389783470 13982972450 20974458675 41948917350