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40529106864 = 243531336263
BaseRepresentation
bin100101101111101110…
…010001011110110000
310212121112122221200000
4211233232101132300
51131000422404424
630341355230000
72633230503261
oct455756213660
9125545587600
1040529106864
1116208695944
127a31148300
133a8b888c4c
141d6697c968
1510c319e3c9
hex96fb917b0

40529106864 has 120 divisors (see below), whose sum is σ = 121420895232. Its totient is φ = 13073866560.

The previous prime is 40529106829. The next prime is 40529106869. The reversal of 40529106864 is 46860192504.

40529106864 is a `hidden beast` number, since 4 + 0 + 529 + 1 + 0 + 68 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (40529106869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47604 + ... + 288659.

Almost surely, 240529106864 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 40529106864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60710447616).

40529106864 is an abundant number, since it is smaller than the sum of its proper divisors (80891788368).

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

40529106864 is a wasteful number, since it uses less digits than its factorization.

40529106864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336317 (or 336299 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 40529106864 in words is "forty billion, five hundred twenty-nine million, one hundred six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 243 248 279 324 372 432 486 496 558 648 744 837 972 1116 1296 1488 1674 1944 2232 2511 3348 3888 4464 5022 6696 7533 10044 13392 15066 20088 30132 40176 60264 120528 336263 672526 1008789 1345052 2017578 2690104 3026367 4035156 5380208 6052734 8070312 9079101 10424153 12105468 16140624 18158202 20848306 24210936 27237303 31272459 36316404 41696612 48421872 54474606 62544918 72632808 81711909 83393224 93817377 108949212 125089836 145265616 163423818 166786448 187634754 217898424 250179672 281452131 326847636 375269508 435796848 500359344 562904262 653695272 750539016 844356393 1125808524 1307390544 1501078032 1688712786 2251617048 2533069179 3377425572 4503234096 5066138358 6754851144 10132276716 13509702288 20264553432 40529106864