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41215320564 = 22311297292631
BaseRepresentation
bin100110011000100111…
…111110000111110100
310221101100220012220020
4212120213332013310
51133402110224224
630533431205140
72656232305305
oct463047760764
9127340805806
1041215320564
111652aa79400
127ba2b167b0
133b6aaac262
141dcdb687ac
15111354bc79
hex9989fe1f4

41215320564 has 72 divisors (see below), whose sum is σ = 106796633664. Its totient is φ = 12360691200.

The previous prime is 41215320533. The next prime is 41215320589. The reversal of 41215320564 is 46502351214.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 5472 + ... + 287159.

Almost surely, 241215320564 is an apocalyptic number.

41215320564 is a gapful number since it is divisible by the number (44) 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 41215320564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53398316832).

41215320564 is an abundant number, since it is smaller than the sum of its proper divisors (65581313100).

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

41215320564 is a wasteful number, since it uses less digits than its factorization.

41215320564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292757 (or 292744 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 41215320564 its reverse (46502351214), we get a palindrome (87717671778).

The spelling of 41215320564 in words is "forty-one billion, two hundred fifteen million, three hundred twenty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 121 132 194 242 291 363 388 484 582 726 1067 1164 1452 2134 3201 4268 6402 11737 12804 23474 35211 46948 70422 140844 292631 585262 877893 1170524 1755786 3218941 3511572 6437882 9656823 12875764 19313646 28385207 35408351 38627292 56770414 70816702 85155621 106225053 113540828 141633404 170311242 212450106 312237277 340622484 424900212 624474554 936711831 1248949108 1873423662 3434610047 3746847324 6869220094 10303830141 13738440188 20607660282 41215320564