Search a number
-
+
46934247360 = 2635711133172
BaseRepresentation
bin101011101101011111…
…111100011111000000
311111010221001210121210
4223231133330133000
51232110131403420
633321123450120
73251034343260
oct535537743700
9144127053553
1046934247360
11189a5182790
12911a226940
13456c876000
1423b34cd7a0
15134a6639e0
hexaed7fc7c0

46934247360 has 1344 divisors, whose sum is σ = 213796961280. Its totient is φ = 8472821760.

The previous prime is 46934247341. The next prime is 46934247379. The reversal of 46934247360 is 6374243964.

It is an interprime number because it is at equal distance from previous prime (46934247341) and next prime (46934247379).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2760838072 + ... + 2760838088.

It is an arithmetic number, because the mean of its divisors is an integer number (159075120).

Almost surely, 246934247360 is an apocalyptic number.

46934247360 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 46934247360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106898480640).

46934247360 is an abundant number, since it is smaller than the sum of its proper divisors (166862713920).

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

46934247360 is a wasteful number, since it uses less digits than its factorization.

46934247360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 48.

The spelling of 46934247360 in words is "forty-six billion, nine hundred thirty-four million, two hundred forty-seven thousand, three hundred sixty".