Search a number
-
+
49694360560 = 245131729103941
BaseRepresentation
bin101110010010000000…
…111100001111110000
311202021021201002010121
4232102000330033300
51303233224014220
634455042340024
73406321044445
oct562200741760
9152237632117
1049694360560
111a091197679
12976a65a614
1348bc6490a0
142595ccd9cc
15145cb1eeaa
hexb9203c3f0

49694360560 has 320 divisors, whose sum is σ = 137758682880. Its totient is φ = 16494428160.

The previous prime is 49694360557. The next prime is 49694360567. The reversal of 49694360560 is 6506349694.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 49694360498 and 49694360507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49694360567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52809690 + ... + 52810630.

It is an arithmetic number, because the mean of its divisors is an integer number (430495884).

Almost surely, 249694360560 is an apocalyptic number.

49694360560 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 49694360560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68879341440).

49694360560 is an abundant number, since it is smaller than the sum of its proper divisors (88064322320).

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

49694360560 is a wasteful number, since it uses less digits than its factorization.

49694360560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 52.

The spelling of 49694360560 in words is "forty-nine billion, six hundred ninety-four million, three hundred sixty thousand, five hundred sixty".