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154131431550 = 235229179197947
BaseRepresentation
bin1000111110001011110…
…0110000000001111110
3112201211200110222111220
42033202330300001332
510011130121302200
6154450151254210
714064343360125
oct2174274600176
9481750428456
10154131431550
115a4041a1898
1225a5637a366
13116c449b105
147662358abc
1540216674a0
hex23e2f3007e

154131431550 has 96 divisors (see below), whose sum is σ = 397637942400. Its totient is φ = 39462514560.

The previous prime is 154131431459. The next prime is 154131431563. The reversal of 154131431550 is 55134131451.

It is a happy number.

154131431550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 679677 + ... + 877623.

It is an arithmetic number, because the mean of its divisors is an integer number (4142061900).

Almost surely, 2154131431550 is an apocalyptic number.

154131431550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 154131431550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198818971200).

154131431550 is an abundant number, since it is smaller than the sum of its proper divisors (243506510850).

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

154131431550 is a wasteful number, since it uses less digits than its factorization.

154131431550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198170 (or 198165 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 154131431550 in words is "one hundred fifty-four billion, one hundred thirty-one million, four hundred thirty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 179 290 358 435 537 725 870 895 1074 1450 1790 2175 2685 4350 4475 5191 5370 8950 10382 13425 15573 25955 26850 31146 51910 77865 129775 155730 197947 259550 389325 395894 593841 778650 989735 1187682 1979470 2969205 4948675 5740463 5938410 9897350 11480926 14846025 17221389 28702315 29692050 34442778 35432513 57404630 70865026 86106945 106297539 143511575 172213890 177162565 212595078 287023150 354325130 430534725 531487695 861069450 885812825 1027542877 1062975390 1771625650 2055085754 2657438475 3082628631 5137714385 5314876950 6165257262 10275428770 15413143155 25688571925 30826286310 51377143850 77065715775 154131431550