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150154115560 = 23553569124477
BaseRepresentation
bin1000101111010111100…
…0011111100111101000
3112100120111110101200021
42023311320133213220
54430003423144220
6152551351450224
713563646631521
oct2136570374750
9470514411607
10150154115560
11587530a1489
1225126386974
131120c48c6b7
1473a602b848
153d8c3c34aa
hex22f5e1f9e8

150154115560 has 64 divisors (see below), whose sum is σ = 344828955600. Its totient is φ = 58824370176.

The previous prime is 150154115539. The next prime is 150154115609. The reversal of 150154115560 is 65511451051.

It can be written as a sum of positive squares in 8 ways, for example, as 83413526596 + 66740588964 = 288814^2 + 258342^2 .

It is a super-2 number, since 2×1501541155602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1144042 + ... + 1268518.

Almost surely, 2150154115560 is an apocalyptic number.

150154115560 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 150154115560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172414477800).

150154115560 is an abundant number, since it is smaller than the sum of its proper divisors (194674840040).

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

150154115560 is a wasteful number, since it uses less digits than its factorization.

150154115560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125110 (or 125106 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 34.

The spelling of 150154115560 in words is "one hundred fifty billion, one hundred fifty-four million, one hundred fifteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 569 1060 1138 2120 2276 2845 4552 5690 11380 22760 30157 60314 120628 124477 150785 241256 248954 301570 497908 603140 622385 995816 1206280 1244770 2489540 4979080 6597281 13194562 26389124 32986405 52778248 65972810 70827413 131945620 141654826 263891240 283309652 354137065 566619304 708274130 1416548260 2833096520 3753852889 7507705778 15015411556 18769264445 30030823112 37538528890 75077057780 150154115560