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48998552967 = 3471340916253
BaseRepresentation
bin101101101000100010…
…101001010110000111
311200110210102101120000
4231220202221112013
51300322112143332
634302025012343
73353141554050
oct555042512607
9150423371500
1048998552967
1119864451081
1295b56240b3
13480b447010
14252b727727
15141b9c9b7c
hexb688a9587

48998552967 has 80 divisors (see below), whose sum is σ = 90312425280. Its totient is φ = 25780612608.

The previous prime is 48998552963. The next prime is 48998552983. The reversal of 48998552967 is 76925589984.

48998552967 is a `hidden beast` number, since 4 + 8 + 9 + 9 + 8 + 552 + 9 + 67 = 666.

It is not a de Polignac number, because 48998552967 - 22 = 48998552963 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 48998552895 and 48998552904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48998552963) 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 79 ways as a sum of consecutive naturals, for example, 3006613 + ... + 3022865.

It is an arithmetic number, because the mean of its divisors is an integer number (1128905316).

Almost surely, 248998552967 is an apocalyptic number.

48998552967 is a deficient number, since it is larger than the sum of its proper divisors (41313872313).

48998552967 is a wasteful number, since it uses less digits than its factorization.

48998552967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16694 (or 16685 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 48998552967 in words is "forty-eight billion, nine hundred ninety-eight million, five hundred fifty-two thousand, nine hundred sixty-seven".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 273 351 409 567 819 1053 1227 2457 2863 3681 5317 7371 8589 11043 15951 16253 25767 33129 37219 47853 48759 77301 111657 113771 143559 146277 211289 231903 334971 341313 430677 438831 633867 1004913 1023939 1316493 1479023 1901601 3014739 3071817 4437069 5704803 6647477 9215451 13311207 17114409 19942431 39933621 46532339 59827293 86417201 119800863 139597017 179481879 259251603 418791051 538445637 604920407 777754809 1256373153 1814761221 2333264427 3769119459 5444283663 6999793281 16332850989 48998552967