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40259739648 = 213312712899
BaseRepresentation
bin100101011111101010…
…101110000000000000
310211220202210200022110
4211133222232000000
51124422443132043
630254533535320
72623450066152
oct453752560000
9124822720273
1040259739648
111608a634307
127976aa4540
133a47b2516b
141d3cca0ad2
1510a96e1b33
hex95faae000

40259739648 has 112 divisors (see below), whose sum is σ = 108206438400. Its totient is φ = 13313212416.

The previous prime is 40259739623. The next prime is 40259739661. The reversal of 40259739648 is 84693795204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3114703 + ... + 3127601.

Almost surely, 240259739648 is an apocalyptic number.

40259739648 is a gapful number since it is divisible by the number (48) 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 40259739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54103219200).

40259739648 is an abundant number, since it is smaller than the sum of its proper divisors (67946698752).

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

40259739648 is a wasteful number, since it uses less digits than its factorization.

40259739648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13055 (or 13031 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 40259739648 in words is "forty billion, two hundred fifty-nine million, seven hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 512 762 768 1016 1024 1524 1536 2032 2048 3048 3072 4064 4096 6096 6144 8128 8192 12192 12288 12899 16256 24384 24576 25798 32512 38697 48768 51596 65024 77394 97536 103192 130048 154788 195072 206384 260096 309576 390144 412768 520192 619152 780288 825536 1040384 1238304 1560576 1638173 1651072 2476608 3121152 3276346 3302144 4914519 4953216 6552692 6604288 9829038 9906432 13105384 13208576 19658076 19812864 26210768 26417152 39316152 39625728 52421536 52834304 78632304 79251456 104843072 105668608 157264608 158502912 209686144 314529216 317005824 419372288 629058432 838744576 1258116864 1677489152 2516233728 3354978304 5032467456 6709956608 10064934912 13419913216 20129869824 40259739648