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1054468158129 = 3471216072
BaseRepresentation
bin11110101100000110011…
…00110011001010110001
310201210202200212112210000
433112003030303022301
5114234022322030004
62124225504100213
7136116463312611
oct17260314631261
93653680775700
101054468158129
11377219870311
12150443304669
13785889438c9
1439072354a41
151c668509c39
hexf5833332b1

1054468158129 has 45 divisors (see below), whose sum is σ = 1598686296361. Its totient is φ = 692646375960.

The previous prime is 1054468158119. The next prime is 1054468158151. The reversal of 1054468158129 is 9218518644501.

The square root of 1054468158129 is 1026873.

It is a perfect power (a square), and thus also a powerful number.

1054468158129 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 468 + 1 + 58 + 129 = 666.

1054468158129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-1054468158129 is a prime.

It is a super-2 number, since 2×10544681581292 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1054468158119) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 656171044 + ... + 656172650.

Almost surely, 21054468158129 is an apocalyptic number.

1054468158129 is the 1026873-rd square number.

1054468158129 is the 513437-th centered octagonal number.

It is an amenable number.

1054468158129 is a deficient number, since it is larger than the sum of its proper divisors (544218138232).

1054468158129 is an frugal number, since it uses more digits than its factorization.

1054468158129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 1054468158129 in words is "one trillion, fifty-four billion, four hundred sixty-eight million, one hundred fifty-eight thousand, one hundred twenty-nine".

Divisors: 1 3 9 27 71 81 213 639 1607 1917 4821 5041 5751 14463 15123 43389 45369 114097 130167 136107 342291 408321 1026873 2582449 3080619 7747347 8100887 9241857 23242041 24302661 69726123 72907983 183353879 209178369 218723949 550061637 656171847 1650184911 4950554733 13018125409 14851664199 39054376227 117163128681 351489386043 1054468158129