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1055341189728 = 25327893358601
BaseRepresentation
bin11110101101101110011…
…11001001101001100000
310201220000112122010222200
433112313033021221200
5114242314321032403
62124452252133200
7136150224050340
oct17266717115140
93656015563880
101055341189728
11377627652931
12150647767200
1378697787157
1439116290d20
151c6b9eaaca3
hexf5b73c9a60

1055341189728 has 144 divisors (see below), whose sum is σ = 3430301355936. Its totient is φ = 301487155200.

The previous prime is 1055341189699. The next prime is 1055341189729. The reversal of 1055341189728 is 8279811435501.

1055341189728 is a `hidden beast` number, since 1 + 0 + 5 + 534 + 1 + 1 + 89 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10553411897282 (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 (1055341189729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17979628 + ... + 18038228.

It is an arithmetic number, because the mean of its divisors is an integer number (23821537194).

Almost surely, 21055341189728 is an apocalyptic number.

1055341189728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1055341189728 is an abundant number, since it is smaller than the sum of its proper divisors (2374960166208).

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

1055341189728 is a wasteful number, since it uses less digits than its factorization.

1055341189728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67557 (or 67546 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1055341189728 in words is "one trillion, fifty-five billion, three hundred forty-one million, one hundred eighty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 8933 17866 26799 35732 53598 58601 62531 71464 80397 107196 117202 125062 142928 160794 175803 187593 214392 234404 250124 285856 321588 351606 375186 410207 428784 468808 500248 527409 562779 643176 703212 750372 820414 857568 937616 1000496 1054818 1125558 1230621 1286352 1406424 1500744 1640828 1875232 2000992 2109636 2251116 2461242 2572704 2812848 3001488 3281656 3691863 4219272 4502232 4922484 5625696 6002976 6563312 7383726 8438544 9004464 9844968 13126624 14767452 16877088 18008928 19689936 29534904 39379872 59069808 118139616 523482733 1046965466 1570448199 2093930932 3140896398 3664379131 4187861864 4711344597 6281792796 7328758262 8375723728 9422689194 10993137393 12563585592 14657516524 16751447456 18845378388 21986274786 25127171184 29315033048 32979412179 37690756776 43972549572 50254342368 58630066096 65958824358 75381513552 87945099144 117260132192 131917648716 150763027104 175890198288 263835297432 351780396576 527670594864 1055341189728