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49781483520 = 21135171929173
BaseRepresentation
bin101110010111001101…
…010010100000000000
311202111100122101100220
4232113031102200000
51303423024433040
634511433543040
73411426425316
oct562715224000
9152440571326
1049781483520
111a12639341a
129793874a80
134904701632
1425a36cc0b6
1514655ce2d0
hexb97352800

49781483520 has 768 divisors, whose sum is σ = 184687776000. Its totient is φ = 11362369536.

The previous prime is 49781483497. The next prime is 49781483533. The reversal of 49781483520 is 2538418794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×497814835202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287754154 + ... + 287754326.

It is an arithmetic number, because the mean of its divisors is an integer number (240478875).

Almost surely, 249781483520 is an apocalyptic number.

49781483520 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 49781483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92343888000).

49781483520 is an abundant number, since it is smaller than the sum of its proper divisors (134906292480).

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

49781483520 is a wasteful number, since it uses less digits than its factorization.

49781483520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 49781483520 in words is "forty-nine billion, seven hundred eighty-one million, four hundred eighty-three thousand, five hundred twenty".