Search a number
-
+
10055531552 = 2511172373061
BaseRepresentation
bin10010101110101101…
…10011110000100000
3221221210020221002112
421113112303300200
5131043204002202
64341444534452
7504120415343
oct112726636040
927853227075
1010055531552
1142a00a3760
121b476b1428
13c43361591
146b569a45a
153dcbcbb52
hex2575b3c20

10055531552 has 96 divisors (see below), whose sum is σ = 23861464704. Its totient is φ = 4114739200.

The previous prime is 10055531539. The next prime is 10055531579. The reversal of 10055531552 is 25513555001.

It is a super-2 number, since 2×100555315522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101102 + ... + 174162.

It is an arithmetic number, because the mean of its divisors is an integer number (248556924).

Almost surely, 210055531552 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 10055531552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11930732352).

10055531552 is an abundant number, since it is smaller than the sum of its proper divisors (13805933152).

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

10055531552 is a wasteful number, since it uses less digits than its factorization.

10055531552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73122 (or 73114 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 32.

The spelling of 10055531552 in words is "ten billion, fifty-five million, five hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 23 32 34 44 46 68 88 92 136 176 184 187 253 272 352 368 374 391 506 544 736 748 782 1012 1496 1564 2024 2992 3128 4048 4301 5984 6256 8096 8602 12512 17204 34408 68816 73061 137632 146122 292244 584488 803671 1168976 1242037 1607342 1680403 2337952 2484074 3214684 3360806 4968148 6429368 6721612 9936296 12858736 13443224 13662407 18484433 19872592 25717472 26886448 27324814 28566851 36968866 39745184 53772896 54649628 57133702 73937732 109299256 114267404 147875464 218598512 228534808 295750928 314235361 437197024 457069616 591501856 628470722 914139232 1256941444 2513882888 5027765776 10055531552