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253113541422 = 23731910616101
BaseRepresentation
bin1110101110111010111…
…1100010001100101110
3220012022220210011000020
43223232233202030232
513121334031311142
6312140113343010
724200250414000
oct3535657421456
9805286704006
10253113541422
1198387aa4a85
124107b267a66
131ab3a1486b1
14c372132370
1568b6339cec
hex3aeebe232e

253113541422 has 128 divisors (see below), whose sum is σ = 622111104000. Its totient is φ = 68436144000.

The previous prime is 253113541391. The next prime is 253113541427. The reversal of 253113541422 is 224145311352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253113541427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41484172 + ... + 41490272.

It is an arithmetic number, because the mean of its divisors is an integer number (4860243000).

Almost surely, 2253113541422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253113541422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311055552000).

253113541422 is an abundant number, since it is smaller than the sum of its proper divisors (368997562578).

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

253113541422 is a wasteful number, since it uses less digits than its factorization.

253113541422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7207 (or 7193 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

Adding to 253113541422 its reverse (224145311352), we get a palindrome (477258852774).

The spelling of 253113541422 in words is "two hundred fifty-three billion, one hundred thirteen million, five hundred forty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 343 399 686 798 931 1029 1061 1862 2058 2122 2793 3183 5586 6101 6366 6517 7427 12202 13034 14854 18303 19551 20159 22281 36606 39102 40318 42707 44562 51989 60477 85414 103978 115919 120954 128121 141113 155967 231838 256242 282226 298949 311934 347757 363923 423339 597898 695514 727846 811433 846678 896847 987791 1091769 1622866 1793694 1975582 2092643 2183538 2434299 2963373 4185286 4868598 5680031 5926746 6277929 6473161 6914537 11360062 12555858 12946322 13829074 17040093 19419483 20743611 34080186 38838966 39760217 41487222 45312127 79520434 90624254 119280651 122990059 135936381 238561302 245980118 271872762 317184889 368970177 634369778 737940354 860930413 951554667 1721860826 1903109334 2220294223 2582791239 4440588446 5165582478 6026512891 6660882669 12053025782 13321765338 18079538673 36159077346 42185590237 84371180474 126556770711 253113541422