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150139419100 = 225211217962639
BaseRepresentation
bin1000101111010100000…
…0011011100111011100
3112100112110210201220221
42023311000123213130
54424441142402400
6152550104451124
713563411001636
oct2136500334734
9470473721827
10150139419100
1158745873850
1225121479aa4
1311209415278
1473a40c3a56
153d8ae6dc1a
hex22f501b9dc

150139419100 has 72 divisors (see below), whose sum is σ = 355589740800. Its totient is φ = 54570225600.

The previous prime is 150139419019. The next prime is 150139419119. The reversal of 150139419100 is 1914931051.

150139419100 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 23 ways as a sum of consecutive naturals, for example, 2365581 + ... + 2428219.

It is an arithmetic number, because the mean of its divisors is an integer number (4938746400).

Almost surely, 2150139419100 is an apocalyptic number.

150139419100 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 150139419100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177794870400).

150139419100 is an abundant number, since it is smaller than the sum of its proper divisors (205450321700).

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

150139419100 is a wasteful number, since it uses less digits than its factorization.

150139419100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64843 (or 64836 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 34.

The spelling of 150139419100 in words is "one hundred fifty billion, one hundred thirty-nine million, four hundred nineteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2179 4358 8716 10895 21790 23969 43580 47938 54475 62639 95876 108950 119845 125278 217900 239690 250556 313195 479380 599225 626390 689029 1198450 1252780 1378058 1565975 2396900 2756116 3131950 3445145 6263900 6890290 13780580 17225725 34451450 68902900 136490381 272980762 545961524 682451905 1364903810 1501394191 2729807620 3002788382 3412259525 6005576764 6824519050 7506970955 13649038100 15013941910 30027883820 37534854775 75069709550 150139419100