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6142133556 = 2233134374739
BaseRepresentation
bin1011011100001100…
…11000010100110100
3120212001111201021000
411232012120110310
5100034341233211
62453251123300
7305131162626
oct55606302464
916761451230
106142133556
11267208a939
121234ba3530
1376b672270
14423a4ac16
1525e361656
hex16e198534

6142133556 has 48 divisors (see below), whose sum is σ = 17148980800. Its totient is φ = 1889886816.

The previous prime is 6142133551. The next prime is 6142133579. The reversal of 6142133556 is 6553312416.

6142133556 is a `hidden beast` number, since 61 + 42 + 1 + 3 + 3 + 556 = 666.

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 6142133556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6142133551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2185966 + ... + 2188773.

Almost surely, 26142133556 is an apocalyptic number.

It is an amenable number.

6142133556 is an abundant number, since it is smaller than the sum of its proper divisors (11006847244).

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

6142133556 is a wasteful number, since it uses less digits than its factorization.

6142133556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374765 (or 4374757 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 6142133556 is about 78371.7650432858. The cubic root of 6142133556 is about 1831.3573053236.

The spelling of 6142133556 in words is "six billion, one hundred forty-two million, one hundred thirty-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 4374739 8749478 13124217 17498956 26248434 39372651 52496868 56871607 78745302 113743214 118117953 157490604 170614821 227486428 236235906 341229642 472471812 511844463 682459284 1023688926 1535533389 2047377852 3071066778 6142133556