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150505570020 = 223513659292801
BaseRepresentation
bin1000110000101011010…
…1001011111011100100
3112101110222210010120010
42030022311023323210
54431213411220040
6153050304410220
713605445144221
oct2141265137344
9471428703503
10150505570020
115891351a413
1225204016970
1311267234910
1473da996948
153dad197e80
hex230ad4bee4

150505570020 has 96 divisors (see below), whose sum is σ = 454522400640. Its totient is φ = 36991180800.

The previous prime is 150505570009. The next prime is 150505570049. The reversal of 150505570020 is 20075505051.

150505570020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 150505570020.

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 31 ways as a sum of consecutive naturals, for example, 367620 + ... + 660420.

It is an arithmetic number, because the mean of its divisors is an integer number (4734608340).

Almost surely, 2150505570020 is an apocalyptic number.

150505570020 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 150505570020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227261200320).

150505570020 is an abundant number, since it is smaller than the sum of its proper divisors (304016830620).

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

150505570020 is a wasteful number, since it uses less digits than its factorization.

150505570020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293485 (or 293483 counting only the distinct ones).

The product of its (nonzero) digits is 8750, while the sum is 30.

The spelling of 150505570020 in words is "one hundred fifty billion, five hundred five million, five hundred seventy thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 659 780 1318 1977 2636 3295 3954 6590 7908 8567 9885 13180 17134 19770 25701 34268 39540 42835 51402 85670 102804 128505 171340 257010 292801 514020 585602 878403 1171204 1464005 1756806 2928010 3513612 3806413 4392015 5856020 7612826 8784030 11419239 15225652 17568060 19032065 22838478 38064130 45676956 57096195 76128260 114192390 192955859 228384780 385911718 578867577 771823436 964779295 1157735154 1929558590 2315470308 2508426167 2894337885 3859117180 5016852334 5788675770 7525278501 10033704668 11577351540 12542130835 15050557002 25084261670 30101114004 37626392505 50168523340 75252785010 150505570020