Search a number
-
+
1057611780643 = 1131107197147137
BaseRepresentation
bin11110110001111101001…
…00110001001000100011
310202002212210011010011111
433120332210301020203
5114311442103440033
62125505442524151
7136260414544045
oct17307644611043
93662783133144
101057611780643
11378592307450
12150b80066657
137896a003282
143928da65a95
151c79e4bd7cd
hexf63e931223

1057611780643 has 32 divisors (see below), whose sum is σ = 1208217212928. Its totient is φ = 917069260800.

The previous prime is 1057611780637. The next prime is 1057611780703. The reversal of 1057611780643 is 3460871167501.

1057611780643 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-1057611780643 is a prime.

It is a super-2 number, since 2×10576117806432 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057611786643) 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, 7114371 + ... + 7261507.

It is an arithmetic number, because the mean of its divisors is an integer number (37756787904).

Almost surely, 21057611780643 is an apocalyptic number.

1057611780643 is a deficient number, since it is larger than the sum of its proper divisors (150605432285).

1057611780643 is a wasteful number, since it uses less digits than its factorization.

1057611780643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147483.

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 1057611780643 in words is "one trillion, fifty-seven billion, six hundred eleven million, seven hundred eighty thousand, six hundred forty-three".

Divisors: 1 11 31 107 197 341 1177 2167 3317 6107 21079 36487 67177 147137 231869 653449 1618507 4561247 7187939 15743659 28985989 50173717 173180249 318845879 488053429 898565659 3101500823 5368587719 9884222249 34116509053 96146525513 1057611780643