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47013425472 = 263131731103347
BaseRepresentation
bin101011110010001101…
…111111000101000000
311111100110001110120110
4223302031333011000
51232240414103342
633333032511320
73253015344246
oct536215770500
9144313043513
1047013425472
1118a35942442
12914084b540
1345830a9270
1423bdc20796
1513525a3c9c
hexaf237f140

47013425472 has 448 divisors, whose sum is σ = 148260962304. Its totient is φ = 13010042880.

The previous prime is 47013425453. The next prime is 47013425509. The reversal of 47013425472 is 27452431074.

47013425472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×470134254722 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 47013425472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135485203 + ... + 135485549.

It is an arithmetic number, because the mean of its divisors is an integer number (330939648).

Almost surely, 247013425472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47013425472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74130481152).

47013425472 is an abundant number, since it is smaller than the sum of its proper divisors (101247536832).

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

47013425472 is a wasteful number, since it uses less digits than its factorization.

47013425472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 47013425472 in words is "forty-seven billion, thirteen million, four hundred twenty-five thousand, four hundred seventy-two".