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49945160448 = 2832293124113
BaseRepresentation
bin101110100000111101…
…101010101100000000
311202220202122000220100
4232200331222230000
51304241430113243
634540002042400
73415454600451
oct564075525400
9152822560810
1049945160448
111a1aa817307
12981a649400
13492c5ab8a1
1425bb337128
151474b610d3
hexba0f6ab00

49945160448 has 216 divisors, whose sum is σ = 153781729920. Its totient is φ = 15555133440.

The previous prime is 49945160411. The next prime is 49945160449. The reversal of 49945160448 is 84406154994.

49945160448 is a `hidden beast` number, since 4 + 9 + 94 + 51 + 60 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49945160394 and 49945160403.

It is not an unprimeable number, because it can be changed into a prime (49945160449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2059240 + ... + 2083352.

Almost surely, 249945160448 is an apocalyptic number.

49945160448 is a gapful number since it is divisible by the number (48) 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 49945160448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76890864960).

49945160448 is an abundant number, since it is smaller than the sum of its proper divisors (103836569472).

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

49945160448 is a wasteful number, since it uses less digits than its factorization.

49945160448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24195 (or 24178 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 49945160448 in words is "forty-nine billion, nine hundred forty-five million, one hundred sixty thousand, four hundred forty-eight".