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41906068032 = 2631917536553
BaseRepresentation
bin100111000001110010…
…111101101001000000
311000011111122211021210
4213001302331221000
51141310423134112
631130144250120
73012320462313
oct470162755100
9130144584253
1041906068032
1116854979184
128156310940
133c4ac2c07a
1420577b497a
151153ee2b3c
hex9c1cbda40

41906068032 has 112 divisors (see below), whose sum is σ = 116796474560. Its totient is φ = 13223927808.

The previous prime is 41906068031. The next prime is 41906068069. The reversal of 41906068032 is 23086060914.

It is a super-2 number, since 2×419060680322 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41906068031) 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, 6391668 + ... + 6398220.

Almost surely, 241906068032 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 41906068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58398237280).

41906068032 is an abundant number, since it is smaller than the sum of its proper divisors (74890406528).

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

41906068032 is a wasteful number, since it uses less digits than its factorization.

41906068032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8340 (or 8330 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 41906068032 in words is "forty-one billion, nine hundred six million, sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1753 1824 3506 3648 5259 6553 7012 10518 13106 14024 19659 21036 26212 28048 33307 39318 42072 52424 56096 66614 78636 84144 99921 104848 112192 124507 133228 157272 168288 199842 209696 249014 266456 314544 336576 373521 399684 419392 498028 532912 629088 747042 799368 996056 1065824 1258176 1494084 1598736 1992112 2131648 2988168 3197472 3984224 5976336 6394944 7968448 11487409 11952672 22974818 23905344 34462227 45949636 68924454 91899272 137848908 183798544 218260771 275697816 367597088 436521542 551395632 654782313 735194176 873043084 1102791264 1309564626 1746086168 2205582528 2619129252 3492172336 5238258504 6984344672 10476517008 13968689344 20953034016 41906068032