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48974599547984 = 24111667202782351
BaseRepresentation
bin10110010001010110010011…
…00110111110110001010000
320102101221000001022011221202
423020223021212332301100
522404344434441013414
6252054342003010332
713213204142404115
oct1310531146766120
9212357001264852
1048974599547984
11146720137526a0
1255ab7323699a8
132143391c81996
14c1455197690c
1559de1d4c39de
hex2c8ac99bec50

48974599547984 has 80 divisors (see below), whose sum is σ = 103628947608576. Its totient is φ = 22236581808000.

The previous prime is 48974599547971. The next prime is 48974599547987.

48974599547984 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×489745995479842 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48974599547893 and 48974599547902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48974599547987) 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, 594664409 + ... + 594746759.

Almost surely, 248974599547984 is an apocalyptic number.

48974599547984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48974599547984 is an abundant number, since it is smaller than the sum of its proper divisors (54654348060592).

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

48974599547984 is a wasteful number, since it uses less digits than its factorization.

48974599547984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86064 (or 86058 counting only the distinct ones).

The product of its digits is 131681894400, while the sum is 92.

The spelling of 48974599547984 in words is "forty-eight trillion, nine hundred seventy-four billion, five hundred ninety-nine million, five hundred forty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 1667 2027 3334 4054 6668 8108 13336 16216 18337 22297 26672 32432 36674 44594 73348 82351 89188 146696 164702 178376 293392 329404 356752 658808 905861 1317616 1811722 3379009 3623444 6758018 7246888 13516036 14493776 27032072 37169099 54064144 74338198 137279117 148676396 166925477 274558234 297352792 333850954 549116468 594705584 667701908 1098232936 1335403816 1510070287 1836180247 2196465872 2670807632 3020140574 3672360494 6040281148 7344720988 12080562296 14689441976 24161124592 29378883952 278264770159 556529540318 1113059080636 2226118161272 3060912471749 4452236322544 6121824943498 12243649886996 24487299773992 48974599547984