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196248400096 = 2571531957191
BaseRepresentation
bin1011011011000101010…
…0001111000011100000
3200202112212222122220211
42312301110033003200
511203404042300341
6230053312143504
720115134606650
oct2666124170340
9622485878824
10196248400096
1176257118711
123204b237b94
1315676cccb88
1496d9b4c360
155188e19181
hex2db150f0e0

196248400096 has 48 divisors (see below), whose sum is σ = 441595445760. Its totient is φ = 84099496320.

The previous prime is 196248400091. The next prime is 196248400141. The reversal of 196248400096 is 690004842691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196248400091) 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 7 ways as a sum of consecutive naturals, for example, 3402861 + ... + 3460051.

It is an arithmetic number, because the mean of its divisors is an integer number (9199905120).

Almost surely, 2196248400096 is an apocalyptic number.

196248400096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

196248400096 is an abundant number, since it is smaller than the sum of its proper divisors (245347045664).

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

196248400096 is a wasteful number, since it uses less digits than its factorization.

196248400096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72527 (or 72519 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 196248400096 in words is "one hundred ninety-six billion, two hundred forty-eight million, four hundred thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 15319 30638 57191 61276 107233 114382 122552 214466 228764 245104 400337 428932 457528 490208 800674 857864 915056 1601348 1715728 1830112 3202696 3431456 6405392 12810784 876108929 1752217858 3504435716 6132762503 7008871432 12265525006 14017742864 24531050012 28035485728 49062100024 98124200048 196248400096