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41657117952 = 283293185123
BaseRepresentation
bin100110110010111101…
…010010110100000000
310222112011012211222110
4212302331102310000
51140303210233302
631045332335320
73003205442322
oct466275226400
9128464184873
1041657117952
11167373a230a
1280a6a74540
133c0b496528
1420326cd612
15113c219b6c
hex9b2f52d00

41657117952 has 72 divisors (see below), whose sum is σ = 111247676064. Its totient is φ = 13838239744.

The previous prime is 41657117933. The next prime is 41657117993. The reversal of 41657117952 is 25971175614.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132463 + ... + 317585.

It is an arithmetic number, because the mean of its divisors is an integer number (1545106612).

Almost surely, 241657117952 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 41657117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55623838032).

41657117952 is an abundant number, since it is smaller than the sum of its proper divisors (69590558112).

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

41657117952 is a wasteful number, since it uses less digits than its factorization.

41657117952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185435 (or 185421 counting only the distinct ones).

The product of its digits is 529200, while the sum is 48.

The spelling of 41657117952 in words is "forty-one billion, six hundred fifty-seven million, one hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 293 384 586 768 879 1172 1758 2344 3516 4688 7032 9376 14064 18752 28128 37504 56256 75008 112512 185123 225024 370246 555369 740492 1110738 1480984 2221476 2961968 4442952 5923936 8885904 11847872 17771808 23695744 35543616 47391488 54241039 71087232 108482078 142174464 162723117 216964156 325446234 433928312 650892468 867856624 1301784936 1735713248 2603569872 3471426496 5207139744 6942852992 10414279488 13885705984 20828558976 41657117952