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40337067368 = 23132109727197
BaseRepresentation
bin100101100100010001…
…101100110101101000
310212010011022100000002
4211210101230311220
51130102242123433
630310335202132
72625406262333
oct454421546550
9125104270002
1040337067368
111611a24a814
127998976348
133a5ab5b100
141d4926d61a
1510b13b89e8
hex96446cd68

40337067368 has 48 divisors (see below), whose sum is σ = 81975043980. Its totient is φ = 18599453184.

The previous prime is 40337067349. The next prime is 40337067383. The reversal of 40337067368 is 86376073304.

It can be written as a sum of positive squares in 6 ways, for example, as 3757444804 + 36579622564 = 61298^2 + 191258^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1469546 + ... + 1496742.

Almost surely, 240337067368 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 40337067368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40987521990).

40337067368 is an abundant number, since it is smaller than the sum of its proper divisors (41637976612).

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

40337067368 is a wasteful number, since it uses less digits than its factorization.

40337067368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28326 (or 28309 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 47.

The spelling of 40337067368 in words is "forty billion, three hundred thirty-seven million, sixty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1097 1352 2194 4388 8776 14261 27197 28522 54394 57044 108788 114088 185393 217576 353561 370786 707122 741572 1414244 1483144 2828488 4596293 9192586 18385172 29835109 36770344 59670218 119340436 238680872 387856417 775712834 1551425668 3102851336 5042133421 10084266842 20168533684 40337067368