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13799922048 = 273411121001
BaseRepresentation
bin11001101101000101…
…00001100110000000
31022121201222200020000
430312202201212000
5211230240001143
610201204120000
7665655254613
oct146642414600
938551880200
1013799922048
115941772760
122811696000
1313bc028263
1494cab417a
1555b7b0bd3
hex3368a1980

13799922048 has 160 divisors (see below), whose sum is σ = 44802200520. Its totient is φ = 4181760000.

The previous prime is 13799921987. The next prime is 13799922089. The reversal of 13799922048 is 84022999731.

13799922048 is a `hidden beast` number, since 1 + 379 + 9 + 9 + 220 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13799921985 and 13799922003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53548 + ... + 174548.

Almost surely, 213799922048 is an apocalyptic number.

13799922048 is a gapful number since it is divisible by the number (18) 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 13799922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22401100260).

13799922048 is an abundant number, since it is smaller than the sum of its proper divisors (31002278472).

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

13799922048 is a wasteful number, since it uses less digits than its factorization.

13799922048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121038 (or 121017 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 13799922048 in words is "thirteen billion, seven hundred ninety-nine million, nine hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1056 1152 1188 1296 1408 1584 1728 1782 2112 2376 2592 3168 3456 3564 4224 4752 5184 6336 7128 9504 10368 12672 14256 19008 28512 38016 57024 114048 121001 242002 363003 484004 726006 968008 1089009 1331011 1452012 1936016 2178018 2662022 2904024 3267027 3872032 3993033 4356036 5324044 5808048 6534054 7744064 7986066 8712072 9801081 10648088 11616096 11979099 13068108 15488128 15972132 17424144 19602162 21296176 23232192 23958198 26136216 31944264 34848288 35937297 39204324 42592352 46464384 47916396 52272432 63888528 69696576 71874594 78408648 85184704 95832792 104544864 107811891 127777056 139393152 143749188 156817296 170369408 191665584 209089728 215623782 255554112 287498376 313634592 383331168 418179456 431247564 511108224 574996752 627269184 766662336 862495128 1149993504 1254538368 1533324672 1724990256 2299987008 3449980512 4599974016 6899961024 13799922048