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10153254560 = 255131484411
BaseRepresentation
bin10010111010010111…
…00101111010100000
3222012121010202212012
421131023211322200
5131243213121220
64355255252052
7506415145151
oct113513457240
928177122765
1010153254560
11434027a479
121b7437a028
13c5a688847
146c4657928
153e6581ac5
hex25d2e5ea0

10153254560 has 48 divisors (see below), whose sum is σ = 24170221152. Its totient is φ = 4030291200.

The previous prime is 10153254541. The next prime is 10153254563. The reversal of 10153254560 is 6545235101.

10153254560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10153254563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221246 + ... + 263165.

It is an arithmetic number, because the mean of its divisors is an integer number (503546274).

Almost surely, 210153254560 is an apocalyptic number.

10153254560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10153254560 is an abundant number, since it is smaller than the sum of its proper divisors (14016966592).

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

10153254560 is a wasteful number, since it uses less digits than its factorization.

10153254560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484557 (or 484549 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 10153254560 its reverse (6545235101), we get a palindrome (16698489661).

The spelling of 10153254560 in words is "ten billion, one hundred fifty-three million, two hundred fifty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 262 524 655 1048 1310 2096 2620 4192 5240 10480 20960 484411 968822 1937644 2422055 3875288 4844110 7750576 9688220 15501152 19376440 38752880 63457841 77505760 126915682 253831364 317289205 507662728 634578410 1015325456 1269156820 2030650912 2538313640 5076627280 10153254560