Search a number
-
+
6138013392 = 2432731196429
BaseRepresentation
bin1011011011101101…
…01010011011010000
3120211202202101110100
411231312222123100
5100032312412032
62453022532400
7305051152530
oct55566523320
916752671410
106138013392
11266a826345
121233737100
1376a85bab4
144232974c0
1525dcea97c
hex16ddaa6d0

6138013392 has 120 divisors (see below), whose sum is σ = 20265290240. Its totient is φ = 1697137920.

The previous prime is 6138013391. The next prime is 6138013417. The reversal of 6138013392 is 2933108316.

6138013392 is a `hidden beast` number, since 61 + 380 + 133 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6138013391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66967 + ... + 129462.

Almost surely, 26138013392 is an apocalyptic number.

6138013392 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

6138013392 is an abundant number, since it is smaller than the sum of its proper divisors (14127276848).

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

6138013392 is a wasteful number, since it uses less digits than its factorization.

6138013392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196481 (or 196472 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6138013392 is about 78345.4746108542. The cubic root of 6138013392 is about 1830.9477201645.

The spelling of 6138013392 in words is "six billion, one hundred thirty-eight million, thirteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7812 10416 15624 31248 196429 392858 589287 785716 1178574 1375003 1571432 1767861 2357148 2750006 3142864 3535722 4125009 4714296 5500012 6089299 7071444 8250018 9428592 11000024 12178598 12375027 14142888 16500036 18267897 22000048 24357196 24750054 28285776 33000072 36535794 42625093 48714392 49500108 54803691 66000144 73071588 85250186 97428784 99000216 109607382 127875279 146143176 170500372 198000432 219214764 255750558 292286352 341000744 383625837 438429528 511501116 682001488 767251674 876859056 1023002232 1534503348 2046004464 3069006696 6138013392