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150158660840 = 23543534993301
BaseRepresentation
bin1000101111011000100…
…1110101010011101000
3112100120211000022121222
42023312021311103220
54430011104121330
6152552033121212
713564033362206
oct2136611652350
9470524008558
10150158660840
1158755716411
12251279b9208
13112103c1506
1473a6892076
153d8c9c00e5
hex22f62754e8

150158660840 has 128 divisors (see below), whose sum is σ = 353049840000. Its totient is φ = 57426969600.

The previous prime is 150158660819. The next prime is 150158660849. The reversal of 150158660840 is 48066851051.

150158660840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 150158660791 and 150158660800.

It is not an unprimeable number, because it can be changed into a prime (150158660849) 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, 45487190 + ... + 45490490.

It is an arithmetic number, because the mean of its divisors is an integer number (2758201875).

Almost surely, 2150158660840 is an apocalyptic number.

150158660840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150158660840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176524920000).

150158660840 is an abundant number, since it is smaller than the sum of its proper divisors (202891179160).

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

150158660840 is a wasteful number, since it uses less digits than its factorization.

150158660840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The spelling of 150158660840 in words is "one hundred fifty billion, one hundred fifty-eight million, six hundred sixty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 53 86 106 172 212 215 265 344 424 430 499 530 860 998 1060 1720 1996 2120 2279 2495 3301 3992 4558 4990 6602 9116 9980 11395 13204 16505 18232 19960 21457 22790 26408 26447 33010 42914 45580 52894 66020 85828 91160 105788 107285 132040 132235 141943 171656 174953 211576 214570 264470 283886 349906 429140 528940 567772 699812 709715 858280 874765 1057880 1135544 1137221 1399624 1419430 1647199 1749530 2274442 2838860 3294398 3499060 4548884 5677720 5686105 6588796 6998120 7522979 8235995 9097768 11372210 13177592 15045958 16471990 22744420 30091916 32943980 37614895 45488840 60183832 65887960 70829557 75229790 87301547 141659114 150459580 174603094 283318228 300919160 349206188 354147785 436507735 566636456 698412376 708295570 873015470 1416591140 1746030940 2833182280 3492061880 3753966521 7507933042 15015866084 18769832605 30031732168 37539665210 75079330420 150158660840