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1055534052768 = 253132711311981
BaseRepresentation
bin11110101110000101011…
…10110111010110100000
310201220111222112121100020
433113002232313112200
5114243213204142033
62124523341553440
7136155055261266
oct17270256672640
93656458477306
101055534052768
11377716500778
121506a0275880
13786c8712ab0
1439133b36436
151c6cbda56b3
hexf5c2bb75a0

1055534052768 has 96 divisors (see below), whose sum is σ = 2985023809152. Its totient is φ = 324658867200.

The previous prime is 1055534052767. The next prime is 1055534052773. The reversal of 1055534052768 is 8672504355501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10555340527682 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1055534052768.

It is not an unprimeable number, because it can be changed into a prime (1055534052761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3227338 + ... + 3539318.

It is an arithmetic number, because the mean of its divisors is an integer number (31093998012).

Almost surely, 21055534052768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055534052768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492511904576).

1055534052768 is an abundant number, since it is smaller than the sum of its proper divisors (1929489756384).

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

1055534052768 is a wasteful number, since it uses less digits than its factorization.

1055534052768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314718 (or 314710 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 51.

The spelling of 1055534052768 in words is "one trillion, fifty-five billion, five hundred thirty-four million, fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2711 5422 8133 10844 16266 21688 32532 35243 43376 65064 70486 86752 105729 130128 140972 211458 260256 281944 311981 422916 563888 623962 845832 935943 1127776 1247924 1691664 1871886 2495848 3383328 3743772 4055753 4991696 7487544 8111506 9983392 12167259 14975088 16223012 24334518 29950176 32446024 48669036 64892048 97338072 129784096 194676144 389352288 845780491 1691560982 2537341473 3383121964 5074682946 6766243928 10149365892 10995146383 13532487856 20298731784 21990292766 27064975712 32985439149 40597463568 43980585532 65970878298 81194927136 87961171064 131941756596 175922342128 263883513192 351844684256 527767026384 1055534052768