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48357749400 = 233522931372423
BaseRepresentation
bin101101000010010110…
…001011001010011000
311121211010122012022120
4231002112023022120
51243014040440100
634114254221240
73331231042062
oct550226131230
9147733565276
1048357749400
1119565763954
129456ab4820
134738762bcc
1424aa59c732
1513d05ec0a0
hexb4258b298

48357749400 has 384 divisors, whose sum is σ = 164475187200. Its totient is φ = 11718604800.

The previous prime is 48357749339. The next prime is 48357749413. The reversal of 48357749400 is 494775384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19956589 + ... + 19959011.

It is an arithmetic number, because the mean of its divisors is an integer number (428320800).

Almost surely, 248357749400 is an apocalyptic number.

48357749400 is a gapful number since it is divisible by the number (40) 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 48357749400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82237593600).

48357749400 is an abundant number, since it is smaller than the sum of its proper divisors (116117437800).

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

48357749400 is a wasteful number, since it uses less digits than its factorization.

48357749400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 48357749400 in words is "forty-eight billion, three hundred fifty-seven million, seven hundred forty-nine thousand, four hundred".