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5098533984 = 25341967027
BaseRepresentation
bin1001011111110010…
…10111010001100000
3111011022210100210000
410233321113101200
540420211041414
62201531140000
7240226552365
oct45771272140
914138710700
105098533984
112186a98055
12ba35a4600
136333ab01b
143651d046c
151ec91bb09
hex12fe57460

5098533984 has 60 divisors (see below), whose sum is σ = 14994654444. Its totient is φ = 1699510464.

The previous prime is 5098533961. The next prime is 5098533989. The reversal of 5098533984 is 4893358905.

5098533984 is a `hidden beast` number, since 509 + 8 + 53 + 3 + 9 + 84 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5098533984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5098533989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 980922 + ... + 986105.

Almost surely, 25098533984 is an apocalyptic number.

5098533984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5098533984 is an abundant number, since it is smaller than the sum of its proper divisors (9896120460).

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

5098533984 is a wasteful number, since it uses less digits than its factorization.

5098533984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967049 (or 1967032 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 5098533984 is about 71404.0193826650. The cubic root of 5098533984 is about 1721.1356732700.

The spelling of 5098533984 in words is "five billion, ninety-eight million, five hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 1967027 3934054 5901081 7868108 11802162 15736216 17703243 23604324 31472432 35406486 47208648 53109729 62944864 70812972 94417296 106219458 141625944 159329187 188834592 212438916 283251888 318658374 424877832 566503776 637316748 849755664 1274633496 1699511328 2549266992 5098533984