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13828812096 = 263116547733
BaseRepresentation
bin11001110000100001…
…01110110101000000
31022200202100102220210
430320100232311000
5211310133441341
610204115234120
7666455651301
oct147020566500
938622312823
1013828812096
115957005230
12281b2a8940
1313c5001c68
149528747a8
1555e0bac16
hex33842ed40

13828812096 has 56 divisors (see below), whose sum is σ = 39914986464. Its totient is φ = 4190548480.

The previous prime is 13828812073. The next prime is 13828812113. The reversal of 13828812096 is 69021882831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3271755 + ... + 3275978.

Almost surely, 213828812096 is an apocalyptic number.

13828812096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13828812096 is an abundant number, since it is smaller than the sum of its proper divisors (26086174368).

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

13828812096 is a wasteful number, since it uses less digits than its factorization.

13828812096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6547759 (or 6547749 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 13828812096 in words is "thirteen billion, eight hundred twenty-eight million, eight hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 6547733 13095466 19643199 26190932 39286398 52381864 72025063 78572796 104763728 144050126 157145592 209527456 216075189 288100252 314291184 419054912 432150378 576200504 628582368 864300756 1152401008 1257164736 1728601512 2304802016 3457203024 4609604032 6914406048 13828812096