Search a number
-
+
1054058170792 = 231124012715469
BaseRepresentation
bin11110101011010101100…
…00110100100110101000
310201202201010102000212211
433111222300310212220
5114232202342431132
62124121100414504
7136103354423344
oct17255260644650
93652633360784
101054058170792
113770293a3800
12150349b47434
1378521a16453
1439033b10624
151c642522147
hexf56ac349a8

1054058170792 has 48 divisors (see below), whose sum is σ = 2177779785300. Its totient is φ = 477922368000.

The previous prime is 1054058170771. The next prime is 1054058170811. The reversal of 1054058170792 is 2970718504501.

1054058170792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 885657916836 + 168400253956 = 941094^2 + 410366^2 .

It is a super-2 number, since 2×10540581707922 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 969567 + ... + 1745902.

Almost surely, 21054058170792 is an apocalyptic number.

It is an amenable number.

1054058170792 is an abundant number, since it is smaller than the sum of its proper divisors (1123721614508).

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

1054058170792 is a wasteful number, since it uses less digits than its factorization.

1054058170792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715898 (or 2715883 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 49.

The spelling of 1054058170792 in words is "one trillion, fifty-four billion, fifty-eight million, one hundred seventy thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 401 484 802 968 1604 3208 4411 8822 17644 35288 48521 97042 194084 388168 2715469 5430938 10861876 21723752 29870159 59740318 119480636 238961272 328571749 657143498 1088903069 1314286996 2177806138 2628573992 4355612276 8711224552 11977933759 23955867518 47911735036 95823470072 131757271349 263514542698 527029085396 1054058170792