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20514419560 = 2355361158633
BaseRepresentation
bin10011000110110000…
…010011001101101000
31221221200111111020001
4103012300103031220
5314003142411220
613231343112344
71324236455245
oct230660231550
957850444201
1020514419560
118777945058
123b862a26b4
131c1c13b0cb
14dc87525cc
15800ed180a
hex4c6c13368

20514419560 has 64 divisors (see below), whose sum is σ = 47799596880. Its totient is φ = 7918909440.

The previous prime is 20514419557. The next prime is 20514419561. The reversal of 20514419560 is 6591441502.

It can be written as a sum of positive squares in 8 ways, for example, as 11356312356 + 9158107204 = 106566^2 + 95698^2 .

It is not an unprimeable number, because it can be changed into a prime (20514419561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50004 + ... + 208636.

Almost surely, 220514419560 is an apocalyptic number.

20514419560 is a gapful number since it is divisible by the number (20) 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 20514419560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23899798440).

20514419560 is an abundant number, since it is smaller than the sum of its proper divisors (27285177320).

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

20514419560 is a wasteful number, since it uses less digits than its factorization.

20514419560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158758 (or 158754 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 20514419560 in words is "twenty billion, five hundred fourteen million, four hundred nineteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 53 61 106 122 212 244 265 305 424 488 530 610 1060 1220 2120 2440 3233 6466 12932 16165 25864 32330 64660 129320 158633 317266 634532 793165 1269064 1586330 3172660 6345320 8407549 9676613 16815098 19353226 33630196 38706452 42037745 48383065 67260392 77412904 84075490 96766130 168150980 193532260 336301960 387064520 512860489 1025720978 2051441956 2564302445 4102883912 5128604890 10257209780 20514419560