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10272151552 = 21113478209
BaseRepresentation
bin10011001000100010…
…01001100000000000
3222111212212100212111
421210101021200000
5132014132322202
64415143505104
7512360563465
oct114421114000
928455770774
1010272151552
1143a13a8553
121ba8158194
13c791b76b0
146d636766c
15401c1a6d7
hex264449800

10272151552 has 96 divisors (see below), whose sum is σ = 22592606400. Its totient is φ = 4639555584.

The previous prime is 10272151511. The next prime is 10272151573. The reversal of 10272151552 is 25515127201.

It is a happy number.

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, 1247224 + ... + 1255432.

It is an arithmetic number, because the mean of its divisors is an integer number (235339650).

Almost surely, 210272151552 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 10272151552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11296303200).

10272151552 is an abundant number, since it is smaller than the sum of its proper divisors (12320454848).

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

10272151552 is an equidigital number, since it uses as much as digits as its factorization.

10272151552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291 (or 8271 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 31.

Adding to 10272151552 its reverse (25515127201), we get a palindrome (35787278753).

The spelling of 10272151552 in words is "ten billion, two hundred seventy-two million, one hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 256 376 416 512 611 752 832 1024 1222 1504 1664 2048 2444 3008 3328 4888 6016 6656 8209 9776 12032 13312 16418 19552 24064 26624 32836 39104 48128 65672 78208 96256 106717 131344 156416 213434 262688 312832 385823 426868 525376 625664 771646 853736 1050752 1251328 1543292 1707472 2101504 3086584 3414944 4203008 5015699 6173168 6829888 8406016 10031398 12346336 13659776 16812032 20062796 24692672 27319552 40125592 49385344 54639104 80251184 98770688 109278208 160502368 197541376 218556416 321004736 395082752 642009472 790165504 1284018944 2568037888 5136075776 10272151552