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47869547264 = 287211192312
BaseRepresentation
bin101100100101001111…
…110101001100000000
311120120002222221212222
4230211033311030000
51241014101003024
633554014310212
73313152303200
oct544517651400
9146502887788
1047869547264
1119335125410
12933b4b8368
13468b57bac6
1424617d8400
1513a281485e
hexb253f5300

47869547264 has 486 divisors, whose sum is σ = 132236463492. Its totient is φ = 17098905600.

The previous prime is 47869547251. The next prime is 47869547269. The reversal of 47869547264 is 46274596874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

Its product of digits (81285120) is a multiple of the sum of its prime divisors (70).

It is a junction number, because it is equal to n+sod(n) for n = 47869547197 and 47869547206.

It is not an unprimeable number, because it can be changed into a prime (47869547269) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1544178929 + ... + 1544178959.

Almost surely, 247869547264 is an apocalyptic number.

47869547264 is a gapful number since it is divisible by the number (44) 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 47869547264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66118231746).

47869547264 is an abundant number, since it is smaller than the sum of its proper divisors (84366916228).

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

47869547264 is a wasteful number, since it uses less digits than its factorization.

47869547264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 70 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 62.

The spelling of 47869547264 in words is "forty-seven billion, eight hundred sixty-nine million, five hundred forty-seven thousand, two hundred sixty-four".