Search a number
-
+
48460773240 = 2332511172572801
BaseRepresentation
bin101101001000011111…
…001011011101111000
311122002022111100110100
4231020133023131320
51243221424220430
634132414315400
73333621530115
oct551037133570
9148068440410
1048460773240
1119608930220
1294854b8b60
134753bc4b69
1424ba13990c
1513d969c960
hexb487cb778

48460773240 has 384 divisors, whose sum is σ = 182695331520. Its totient is φ = 11010048000.

The previous prime is 48460773227. The next prime is 48460773287. The reversal of 48460773240 is 4237706484.

48460773240 is a `hidden beast` number, since 4 + 8 + 4 + 607 + 7 + 32 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17299840 + ... + 17302640.

Almost surely, 248460773240 is an apocalyptic number.

48460773240 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 48460773240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91347665760).

48460773240 is an abundant number, since it is smaller than the sum of its proper divisors (134234558280).

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

48460773240 is a wasteful number, since it uses less digits than its factorization.

48460773240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 48460773240 in words is "forty-eight billion, four hundred sixty million, seven hundred seventy-three thousand, two hundred forty".