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1053706111304 = 2371114916377013
BaseRepresentation
bin11110101010101011100…
…01110100100101001000
310201201210120221120001112
433111111301310211020
5114230442231030204
62124022122505452
7136061551111010
oct17252561644510
93651716846045
101053706111304
113769686a2250
12150270065288
1378496abba22
1438ddd068c40
151c62167d26e
hexf555c74948

1053706111304 has 128 divisors (see below), whose sum is σ = 2481609312000. Its totient is φ = 407472368640.

The previous prime is 1053706111273. The next prime is 1053706111307. The reversal of 1053706111304 is 4031116073501.

1053706111304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10537061113042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053706111307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150246902 + ... + 150253914.

It is an arithmetic number, because the mean of its divisors is an integer number (19387572750).

Almost surely, 21053706111304 is an apocalyptic number.

1053706111304 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 1053706111304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240804656000).

1053706111304 is an abundant number, since it is smaller than the sum of its proper divisors (1427903200696).

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

1053706111304 is a wasteful number, since it uses less digits than its factorization.

1053706111304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8823 (or 8819 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 1053706111304 in words is "one trillion, fifty-three billion, seven hundred six million, one hundred eleven thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 149 154 298 308 596 616 1043 1192 1637 1639 2086 3274 3278 4172 6548 6556 7013 8344 11459 11473 13096 13112 14026 18007 22918 22946 28052 36014 45836 45892 49091 56104 72028 77143 91672 91784 98182 126049 144056 154286 196364 243913 252098 308572 392728 487826 504196 540001 617144 975652 1008392 1044937 1080002 1707391 1951304 2089874 2160004 2683043 3414782 4179748 4320008 5366086 6829564 7314559 8359496 10732172 11480281 11494307 13659128 14629118 18781301 21464344 22960562 22988614 29258236 37562602 45921124 45977228 58516472 75125204 80361967 80460149 91842248 91954456 126283091 150250408 160723934 160920298 252566182 321447868 321840596 505132364 642895736 643681192 883981637 1010264728 1710561869 1767963274 3421123738 3535926548 6842247476 7071853096 11973933083 13684494952 18816180559 23947866166 37632361118 47895732332 75264722236 95791464664 131713263913 150529444472 263426527826 526853055652 1053706111304