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20506501557 = 325961762591
BaseRepresentation
bin10011000110010010…
…000110000110110101
31221221010121012202200
4103012102012012311
5313444131022212
613230501255113
71324112246553
oct230622060665
957833535680
1020506501557
118773427153
123b83704499
131c1a5c80b9
14dc7690bd3
1580046a6dc
hex4c64861b5

20506501557 has 24 divisors (see below), whose sum is σ = 30171847680. Its totient is φ = 13417293120.

The previous prime is 20506501553. The next prime is 20506501559. The reversal of 20506501557 is 75510560502.

It is a happy number.

20506501557 is a `hidden beast` number, since 2 + 0 + 50 + 6 + 50 + 1 + 557 = 666.

It is not a de Polignac number, because 20506501557 - 22 = 20506501553 is a prime.

It is a super-2 number, since 2×205065015572 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20506501553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296332 + ... + 358922.

It is an arithmetic number, because the mean of its divisors is an integer number (1257160320).

Almost surely, 220506501557 is an apocalyptic number.

It is an amenable number.

20506501557 is a deficient number, since it is larger than the sum of its proper divisors (9665346123).

20506501557 is a wasteful number, since it uses less digits than its factorization.

20506501557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63273 (or 63270 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The spelling of 20506501557 in words is "twenty billion, five hundred six million, five hundred one thousand, five hundred fifty-seven".

Divisors: 1 3 9 59 177 531 617 1851 5553 36403 62591 109209 187773 327627 563319 3692869 11078607 33235821 38618647 115855941 347567823 2278500173 6835500519 20506501557