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1082742305204 = 227192107117363
BaseRepresentation
bin11111100000110000111…
…10000111000110110100
310211111202011200001000102
433300120132013012310
5120214424012231304
62145223245133232
7141140235512360
oct17603036070664
93744664601012
101082742305204
1138820889350a
12155a1425a218
137b1435a9c51
143a5954a82a0
151d270874d1e
hexfc187871b4

1082742305204 has 36 divisors (see below), whose sum is σ = 2285456078304. Its totient is φ = 439609653648.

The previous prime is 1082742305191. The next prime is 1082742305207. The reversal of 1082742305204 is 4025032472801.

It is a happy number.

1082742305204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082742305207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53548574 + ... + 53568789.

It is an arithmetic number, because the mean of its divisors is an integer number (63484891064).

Almost surely, 21082742305204 is an apocalyptic number.

1082742305204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1082742305204 is an abundant number, since it is smaller than the sum of its proper divisors (1202713773100).

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

1082742305204 is a wasteful number, since it uses less digits than its factorization.

1082742305204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107117412 (or 107117391 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The spelling of 1082742305204 in words is "one trillion, eighty-two billion, seven hundred forty-two million, three hundred five thousand, two hundred four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 361 532 722 1444 2527 5054 10108 107117363 214234726 428469452 749821541 1499643082 2035229897 2999286164 4070459794 8140919588 14246609279 28493218558 38669368043 56986437116 77338736086 154677472172 270685576301 541371152602 1082742305204