Search a number
-
+
46853173920 = 2535715192347
BaseRepresentation
bin101011101000101010…
…101011001010100000
311110221021111211202210
4223220222223022200
51231423403031140
633305110042120
73246031256460
oct535052531240
9143837454683
1046853173920
1118963439043
1290b7049340
134558b2b167
1423a6827ba0
15134349bd80
hexae8aab2a0

46853173920 has 192 divisors, whose sum is σ = 169790294016. Its totient is φ = 10638259200.

The previous prime is 46853173919. The next prime is 46853173943. The reversal of 46853173920 is 2937135864.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46853173920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461187 + ... + 553533.

It is an arithmetic number, because the mean of its divisors is an integer number (884324448).

It is a 1-persistent number, because it is pandigital, but 2⋅46853173920 = 93706347840 is not.

Almost surely, 246853173920 is an apocalyptic number.

46853173920 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 46853173920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84895147008).

46853173920 is an abundant number, since it is smaller than the sum of its proper divisors (122937120096).

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

46853173920 is a wasteful number, since it uses less digits than its factorization.

46853173920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92523 (or 92515 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 46853173920 in words is "forty-six billion, eight hundred fifty-three million, one hundred seventy-three thousand, nine hundred twenty".