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1051343554000 = 24532918126613
BaseRepresentation
bin11110100110010001111…
…01011000010111010000
310201111200221101012201011
433103020331120113100
5114211122422212000
62122551445020304
7135646162521565
oct17231075302720
93644627335634
101051343554000
11375966033a53
1214b9109b4694
13781ab4b291c
1438c5739486c
151c5340512ba
hexf4c8f585d0

1051343554000 has 80 divisors (see below), whose sum is σ = 2629809159120. Its totient is φ = 406036108800.

The previous prime is 1051343553979. The next prime is 1051343554021. The reversal of 1051343554000 is 4553431501.

1051343554000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1051343553979) and next prime (1051343554021).

It can be written as a sum of positive squares in 8 ways, for example, as 645528688704 + 405814865296 = 803448^2 + 637036^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10513435540002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 9005307 + ... + 9121306.

It is an arithmetic number, because the mean of its divisors is an integer number (32872614489).

Almost surely, 21051343554000 is an apocalyptic number.

1051343554000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1051343554000 is an abundant number, since it is smaller than the sum of its proper divisors (1578465605120).

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

1051343554000 is a wasteful number, since it uses less digits than its factorization.

1051343554000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18126665 (or 18126649 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 1051343554000 its reverse (4553431501), we get a palindrome (1055896985501).

The spelling of 1051343554000 in words is "one trillion, fifty-one billion, three hundred forty-three million, five hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 2000 2320 2900 3625 5800 7250 11600 14500 29000 58000 18126613 36253226 72506452 90633065 145012904 181266130 290025808 362532260 453165325 525671777 725064520 906330650 1051343554 1450129040 1812661300 2102687108 2265826625 2628358885 3625322600 4205374216 4531653250 5256717770 7250645200 8410748432 9063306500 10513435540 13141794425 18126613000 21026871080 26283588850 36253226000 42053742160 52567177700 65708972125 105134355400 131417944250 210268710800 262835888500 525671777000 1051343554000