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1054500314352 = 243173763155351
BaseRepresentation
bin11110101100001010001…
…11011101110011110000
310201210211221101020211020
433112011013131303300
5114234104040024402
62124233013215440
7136120333531542
oct17260507356360
93653757336736
101054500314352
11377235a33801
12150452031580
13785924c2164
1439076725692
151c66b25c8bc
hexf5851ddcf0

1054500314352 has 160 divisors (see below), whose sum is σ = 2967072666624. Its totient is φ = 321366528000.

The previous prime is 1054500314333. The next prime is 1054500314353. The reversal of 1054500314352 is 2534130054501.

It is a super-2 number, since 2×10545003143522 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054500314353) 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, 19023477 + ... + 19078827.

Almost surely, 21054500314352 is an apocalyptic number.

1054500314352 is a gapful number since it is divisible by the number (12) 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 1054500314352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483536333312).

1054500314352 is an abundant number, since it is smaller than the sum of its proper divisors (1912572352272).

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

1054500314352 is a wasteful number, since it uses less digits than its factorization.

1054500314352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56047 (or 56041 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 1054500314352 its reverse (2534130054501), we get a palindrome (3588630368853).

The spelling of 1054500314352 in words is "one trillion, fifty-four billion, five hundred million, three hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 68 74 102 111 136 148 204 222 272 296 408 444 592 629 631 816 888 1258 1262 1776 1887 1893 2516 2524 3774 3786 5032 5048 7548 7572 10064 10096 10727 15096 15144 21454 23347 30192 30288 32181 42908 46694 55351 64362 70041 85816 93388 110702 128724 140082 166053 171632 186776 221404 257448 280164 332106 373552 396899 442808 514896 560328 664212 793798 885616 940967 1120656 1190697 1328424 1587596 1881934 2047987 2381394 2656848 2822901 3175192 3763868 4095974 4762788 5645802 6143961 6350384 7527736 8191948 9525576 11291604 12287922 15055472 16383896 19051152 22583208 24575844 32767792 34815779 34926481 45166416 49151688 69631558 69852962 98303376 104447337 104779443 139263116 139705924 208894674 209558886 278526232 279411848 417789348 419117772 557052464 558823696 593750177 835578696 838235544 1187500354 1292279797 1671157392 1676471088 1781250531 2375000708 2584559594 3562501062 3876839391 4750001416 5169119188 7125002124 7753678782 9500002832 10338238376 14250004248 15507357564 20676476752 21968756549 28500008496 31014715128 43937513098 62029430256 65906269647 87875026196 131812539294 175750052392 263625078588 351500104784 527250157176 1054500314352