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41657104520 = 2352956963113
BaseRepresentation
bin100110110010111101…
…001111100010001000
310222112011012011112222
4212302331033202020
51140303204321040
631045332153212
73003205355213
oct466275174210
9128464164488
1041657104520
1116737393209
1280a6a68808
133c0b490395
1420326c877a
15113c215bb5
hex9b2f4f888

41657104520 has 64 divisors (see below), whose sum is σ = 97132446000. Its totient is φ = 16059731968.

The previous prime is 41657104513. The next prime is 41657104523. The reversal of 41657104520 is 2540175614.

41657104520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3773153476 + 37883951044 = 61426^2 + 194638^2 .

It is not an unprimeable number, because it can be changed into a prime (41657104523) 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, 628484 + ... + 691596.

Almost surely, 241657104520 is an apocalyptic number.

41657104520 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 41657104520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48566223000).

41657104520 is an abundant number, since it is smaller than the sum of its proper divisors (55475341480).

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

41657104520 is a wasteful number, since it uses less digits than its factorization.

41657104520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63722 (or 63718 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 41657104520 in words is "forty-one billion, six hundred fifty-seven million, one hundred four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 569 580 1138 1160 2276 2845 4552 5690 11380 16501 22760 33002 63113 66004 82505 126226 132008 165010 252452 315565 330020 504904 631130 660040 1262260 1830277 2524520 3660554 7321108 9151385 14642216 18302770 35911297 36605540 71822594 73211080 143645188 179556485 287290376 359112970 718225940 1041427613 1436451880 2082855226 4165710452 5207138065 8331420904 10414276130 20828552260 41657104520