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2164685004 = 2232177944773
BaseRepresentation
bin1000000100000110…
…0111100011001100
312120212020101120200
42001001213203030
513413124410004
6554444413500
7104433342666
oct20101474314
95525211520
102164685004
11a109a9979
12504b47290
13286618401
141676c7536
15ca093239
hex810678cc

2164685004 has 72 divisors (see below), whose sum is σ = 5867184960. Its totient is φ = 670505472.

The previous prime is 2164684999. The next prime is 2164685023. The reversal of 2164685004 is 4005864612.

2164685004 is a `hidden beast` number, since 2 + 1 + 646 + 8 + 5 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×21646850042 = 9371722333084960032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2164685004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25962 + ... + 70734.

It is an arithmetic number, because the mean of its divisors is an integer number (81488680).

Almost surely, 22164685004 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 2164685004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933592480).

2164685004 is an abundant number, since it is smaller than the sum of its proper divisors (3702499956).

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

2164685004 is a wasteful number, since it uses less digits than its factorization.

2164685004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44879 (or 44874 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2164685004 is about 46526.1754714483. The cubic root of 2164685004 is about 1293.5947257183.

The spelling of 2164685004 in words is "two billion, one hundred sixty-four million, six hundred eighty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 79 102 153 158 204 237 306 316 474 612 711 948 1343 1422 2686 2844 4029 5372 8058 12087 16116 24174 44773 48348 89546 134319 179092 268638 402957 537276 761141 805914 1522282 1611828 2283423 3044564 3537067 4566846 6850269 7074134 9133692 10611201 13700538 14148268 21222402 27401076 31833603 42444804 60130139 63667206 120260278 127334412 180390417 240520556 360780834 541171251 721561668 1082342502 2164685004