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10152053044 = 2272377011997
BaseRepresentation
bin10010111010001110…
…00000100100110100
3222012111212201200121
421131013000210310
5131242411144134
64355213421324
7506402012200
oct113507004464
928174781617
1010152053044
11433a629791
121b73a9a844
13c5a3579a3
146c4423b00
153e63e5ab4
hex25d1c0934

10152053044 has 72 divisors (see below), whose sum is σ = 21266160552. Its totient is φ = 4225132800.

The previous prime is 10152053033. The next prime is 10152053069. The reversal of 10152053044 is 44035025101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2414739600 + 7737313444 = 49140^2 + 87962^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5082654 + ... + 5084650.

It is an arithmetic number, because the mean of its divisors is an integer number (295363341).

Almost surely, 210152053044 is an apocalyptic number.

10152053044 is a gapful number since it is divisible by the number (14) 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 10152053044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10633080276).

10152053044 is an abundant number, since it is smaller than the sum of its proper divisors (11114107508).

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

10152053044 is a wasteful number, since it uses less digits than its factorization.

10152053044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 10152053044 its reverse (44035025101), we get a palindrome (54187078145).

The spelling of 10152053044 in words is "ten billion, one hundred fifty-two million, fifty-three thousand, forty-four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 518 701 1036 1402 1813 1997 2804 3626 3994 4907 7252 7988 9814 13979 19628 25937 27958 34349 51874 55916 68698 73889 97853 103748 137396 147778 181559 195706 295556 363118 391412 517223 726236 1034446 1270913 1399897 2068892 2541826 2799794 3620561 5083652 5599588 7241122 9799279 14482244 19598558 39197116 51796189 68594953 103592378 137189906 207184756 274379812 362573323 725146646 1450293292 2538013261 5076026522 10152053044