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154438075038 = 231341139934519
BaseRepresentation
bin1000111111010100111…
…0100000001010011110
3112202122001111002022010
42033311032200022132
510012242121400123
6154540423532050
714105055656352
oct2176516401236
9482561432263
10154438075038
115a5512a3665
1225b20bba026
1311742b83a70
147690d7b462
15403d539993
hex23f53a029e

154438075038 has 64 divisors (see below), whose sum is σ = 341002368000. Its totient is φ = 46325917440.

The previous prime is 154438075031. The next prime is 154438075081. The reversal of 154438075038 is 830570834451.

154438075038 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1544380750382 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154438075031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4456743 + ... + 4491261.

It is an arithmetic number, because the mean of its divisors is an integer number (5328162000).

Almost surely, 2154438075038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154438075038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170501184000).

154438075038 is an abundant number, since it is smaller than the sum of its proper divisors (186564292962).

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

154438075038 is a wasteful number, since it uses less digits than its factorization.

154438075038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35977.

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 154438075038 in words is "one hundred fifty-four billion, four hundred thirty-eight million, seventy-five thousand, thirty-eight".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 533 1066 1399 1599 2798 3198 4197 8394 18187 34519 36374 54561 57359 69038 103557 109122 114718 172077 207114 344154 448747 745667 897494 1346241 1415279 1491334 2237001 2692482 2830558 4245837 4474002 8491674 18398627 36797254 48292081 55195881 96584162 110391762 144876243 289752486 627797053 1255594106 1883391159 1979975321 3766782318 3959950642 5939925963 11879851926 25739679173 51479358346 77219037519 154438075038