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41113526000 = 245373927817
BaseRepresentation
bin100110010010100011…
…101001111011110000
310221010021100112000012
4212102203221323300
51133200030313000
630515353314052
72653555130201
oct462243517360
9127107315005
1041113526000
1116488571668
127b74a05928
133b5298a9a1
141dc042b5a8
151109640735
hex9928e9ef0

41113526000 has 80 divisors (see below), whose sum is σ = 99550607520. Its totient is φ = 16422566400.

The previous prime is 41113525993. The next prime is 41113526017. The reversal of 41113526000 is 62531114.

41113526000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464092 + ... + 1491908.

It is an arithmetic number, because the mean of its divisors is an integer number (1244382594).

Almost surely, 241113526000 is an apocalyptic number.

41113526000 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 41113526000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49775303760).

41113526000 is an abundant number, since it is smaller than the sum of its proper divisors (58437081520).

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

41113526000 is a wasteful number, since it uses less digits than its factorization.

41113526000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28579 (or 28563 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 41113526000 in words is "forty-one billion, one hundred thirteen million, five hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 739 1000 1478 2000 2956 3695 5912 7390 11824 14780 18475 27817 29560 36950 55634 59120 73900 92375 111268 139085 147800 184750 222536 278170 295600 369500 445072 556340 695425 739000 1112680 1390850 1478000 2225360 2781700 3477125 5563400 6954250 11126800 13908500 20556763 27817000 41113526 55634000 82227052 102783815 164454104 205567630 328908208 411135260 513919075 822270520 1027838150 1644541040 2055676300 2569595375 4111352600 5139190750 8222705200 10278381500 20556763000 41113526000