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39648153608 = 23728921132
BaseRepresentation
bin100100111011001101…
…101101000000001000
310210100010222212222122
4210323031231000020
51122144411403413
630114125310412
72602342513400
oct447315550010
9123303885878
1039648153608
11158a63926a8
127826105408
13397b200b2b
141cc197d800
151070b86108
hex93b36d008

39648153608 has 108 divisors (see below), whose sum is σ = 88240884615. Its totient is φ = 16652461056.

The previous prime is 39648153581. The next prime is 39648153683. The reversal of 39648153608 is 80635184693.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1544332804 + 38103820804 = 39298^2 + 195202^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=140798.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 39648153608.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 350868560 + ... + 350868672.

Almost surely, 239648153608 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 39648153608

39648153608 is an abundant number, since it is smaller than the sum of its proper divisors (48592731007).

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

39648153608 is an equidigital number, since it uses as much as digits as its factorization.

39648153608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 39648153608 in words is "thirty-nine billion, six hundred forty-eight million, one hundred fifty-three thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 113 178 196 226 356 392 452 623 712 791 904 1246 1582 2492 3164 4361 4984 5537 6328 7921 8722 10057 11074 12769 15842 17444 20114 22148 25538 31684 34888 40228 44296 51076 55447 63368 70399 80456 89383 102152 110894 140798 178766 221788 281596 357532 388129 443576 492793 563192 625681 715064 776258 895073 985586 1136441 1251362 1552516 1790146 1971172 2272882 2502724 3105032 3580292 3942344 4545764 5005448 6265511 7160584 7955087 9091528 12531022 15910174 25062044 31820348 43858577 50124088 55685609 63640696 87717154 101143249 111371218 175434308 202286498 222742436 350868616 404572996 445484872 708002743 809145992 1416005486 2832010972 4956019201 5664021944 9912038402 19824076804 39648153608