Search a number
-
+
5357571932160 = 218385789
BaseRepresentation
bin100110111110110100000…
…1011000000000000000000
3200222011211101210100000000
41031331220023000000000
51200234301403312120
615221122400000000
71062033425015310
oct115755013000000
920864741710000
105357571932160
111786151758588
12726400000000
132cb2a85b7a06
14147444ad3440
15945693b5990
hex4df682c0000

5357571932160 has 1368 divisors, whose sum is σ = 22289076145440. Its totient is φ = 1210828455936.

The previous prime is 5357571932123. The next prime is 5357571932173. The reversal of 5357571932160 is 612391757535.

5357571932160 is a `hidden beast` number, since 5 + 3 + 5 + 7 + 571 + 9 + 3 + 2 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5357571932097 and 5357571932106.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60197437396 + ... + 60197437484.

Almost surely, 25357571932160 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 5357571932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144538072720).

5357571932160 is an abundant number, since it is smaller than the sum of its proper divisors (16931504213280).

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

5357571932160 is an frugal number, since it uses more digits than its factorization.

5357571932160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 54.

The spelling of 5357571932160 in words is "five trillion, three hundred fifty-seven billion, five hundred seventy-one million, nine hundred thirty-two thousand, one hundred sixty".