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6138409104 = 243265292
BaseRepresentation
bin1011011011110000…
…01011000010010000
3120211210111111021100
411231320023002100
5100032413042404
62453035224400
7305054421312
oct55570130220
916753444240
106138409104
11266aa76683
1212338a8100
1376a969c49
1442335b7b2
1525dd77d39
hex16de0b090

6138409104 has 45 divisors (see below), whose sum is σ = 17181651513. Its totient is φ = 2045822976.

The previous prime is 6138409093. The next prime is 6138409111. The reversal of 6138409104 is 4019048316.

The square root of 6138409104 is 78348.

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

It can be written as a sum of positive squares in only one way, i.e., 531394704 + 5607014400 = 23052^2 + 74880^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 936912 + ... + 943440.

Almost surely, 26138409104 is an apocalyptic number.

6138409104 is the 78348-th square number.

It is an amenable number.

6138409104 is an abundant number, since it is smaller than the sum of its proper divisors (11043242409).

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

6138409104 is an frugal number, since it uses more digits than its factorization.

6138409104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13072 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 6138409104 is about 1830.9870658164.

Multiplying 6138409104 by its sum of digits (36), we get a square (220982727744 = 4700882).

6138409104 divided by its sum of digits (36) gives a square (170511364 = 130582).

Multiplying 6138409104 by its product of nonzero digits (20736), we get a square (127286051180544 = 112821122).

The spelling of 6138409104 in words is "six billion, one hundred thirty-eight million, four hundred nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6529 13058 19587 26116 39174 52232 58761 78348 104464 117522 156696 235044 313392 470088 940176 42627841 85255682 127883523 170511364 255767046 341022728 383650569 511534092 682045456 767301138 1023068184 1534602276 2046136368 3069204552 6138409104