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154542402126 = 23272379643719
BaseRepresentation
bin1000111111101101110…
…0011110101001001110
3112202220022210110011100
42033323130132221032
510013000323332001
6154555032003530
714110463513100
oct2177334365116
9482808713140
10154542402126
115a5a51800a2
1225b4bb305a6
131175b680c78
1476a0b77570
154047796586
hex23fb71ea4e

154542402126 has 144 divisors (see below), whose sum is σ = 391689043200. Its totient is φ = 43908824736.

The previous prime is 154542402109. The next prime is 154542402143. The reversal of 154542402126 is 621204245451.

154542402126 is a `hidden beast` number, since 1 + 54 + 542 + 40 + 2 + 1 + 26 = 666.

154542402126 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (154542402109) and next prime (154542402143).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 214940395 + ... + 214941113.

It is an arithmetic number, because the mean of its divisors is an integer number (2720062800).

Almost surely, 2154542402126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154542402126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195844521600).

154542402126 is an abundant number, since it is smaller than the sum of its proper divisors (237146641074).

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

154542402126 is a wasteful number, since it uses less digits than its factorization.

154542402126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 154542402126 its reverse (621204245451), we get a palindrome (775746647577).

The spelling of 154542402126 in words is "one hundred fifty-four billion, five hundred forty-two million, four hundred two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 379 441 643 719 758 882 1137 1286 1438 1929 2157 2274 2653 3411 3858 4314 4501 5033 5306 5787 6471 6822 7959 9002 10066 11574 12942 13503 15099 15918 18571 23877 27006 30198 31507 35231 37142 40509 45297 47754 55713 63014 70462 81018 90594 94521 105693 111426 167139 189042 211386 243697 272501 283563 317079 334278 462317 487394 545002 567126 634158 731091 817503 924634 1386951 1462182 1635006 1705879 1907507 2193273 2452509 2773902 3236219 3411758 3815014 4160853 4386546 4905018 5117637 5722521 6472438 8321706 9708657 10235274 11445042 11941153 13352549 15352911 17167563 19417314 22653533 23882306 26705098 29125971 30705822 34335126 35823459 40057647 45307066 58251942 67960599 71646918 80115294 107470377 120172941 135921198 175218143 203881797 214940754 240345882 350436286 407763594 525654429 1051308858 1226527001 1576963287 2453054002 3153926574 3679581003 7359162006 8585689007 11038743009 17171378014 22077486018 25757067021 51514134042 77271201063 154542402126