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48538751040 = 2634513236263
BaseRepresentation
bin101101001101001000…
…101001000001000000
311122021202020000220000
4231031020221001000
51243401410013130
634144241520000
73335556401463
oct551510510100
9148252200800
1048538751040
111964895008a
1294a7643000
1347670c7980
1424c66372da
1513e1452260
hexb4d229040

48538751040 has 560 divisors, whose sum is σ = 194057918208. Its totient is φ = 11426697216.

The previous prime is 48538751011. The next prime is 48538751081. The reversal of 48538751040 is 4015783584.

48538751040 is a `hidden beast` number, since 4 + 8 + 53 + 87 + 510 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7746949 + ... + 7753211.

Almost surely, 248538751040 is an apocalyptic number.

48538751040 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 48538751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97028959104).

48538751040 is an abundant number, since it is smaller than the sum of its proper divisors (145519167168).

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

48538751040 is a wasteful number, since it uses less digits than its factorization.

48538751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6328 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 48538751040 in words is "forty-eight billion, five hundred thirty-eight million, seven hundred fifty-one thousand, forty".