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49125262032 = 2432721117311201
BaseRepresentation
bin101101110000000110…
…000000001011010000
311200210121211212201100
4231300012000023100
51301102031341112
634322352504400
73356240560200
oct556006001320
9150717755640
1049125262032
1119919a25510
12962bb4b100
13482b77c8b2
1425404ac400
151427ba82dc
hexb701802d0

49125262032 has 720 divisors, whose sum is σ = 190848213504. Its totient is φ = 11612160000.

The previous prime is 49125262009. The next prime is 49125262127. The reversal of 49125262032 is 23026252194.

49125262032 is a `hidden beast` number, since 4 + 9 + 1 + 25 + 2 + 620 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40903032 + ... + 40904232.

Almost surely, 249125262032 is an apocalyptic number.

49125262032 is a gapful number since it is divisible by the number (42) 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 49125262032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95424106752).

49125262032 is an abundant number, since it is smaller than the sum of its proper divisors (141722951472).

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

49125262032 is a wasteful number, since it uses less digits than its factorization.

49125262032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 49125262032 in words is "forty-nine billion, one hundred twenty-five million, two hundred sixty-two thousand, thirty-two".