Search a number
-
+
215381529216 = 27327472107113
BaseRepresentation
bin1100100010010110111…
…1010101001010000000
3202120221022100022212200
43020211233111022000
512012100132413331
6242540033353200
721363232535340
oct3104557251200
9676838308780
10215381529216
1183385292817
12358aaa08800
1317405c10459
14a5d2c5cd20
1559089ee5e6
hex3225bd5280

215381529216 has 576 divisors, whose sum is σ = 736942639680. Its totient is φ = 59137376256.

The previous prime is 215381529197. The next prime is 215381529269. The reversal of 215381529216 is 612925183512.

215381529216 is a `hidden beast` number, since 2 + 1 + 5 + 381 + 52 + 9 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×2153815292164 (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

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, 1906031176 + ... + 1906031288.

It is an arithmetic number, because the mean of its divisors is an integer number (1279414305).

Almost surely, 2215381529216 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 215381529216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368471319840).

215381529216 is an abundant number, since it is smaller than the sum of its proper divisors (521561110464).

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

215381529216 is a wasteful number, since it uses less digits than its factorization.

215381529216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 279 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 215381529216 in words is "two hundred fifteen billion, three hundred eighty-one million, five hundred twenty-nine thousand, two hundred sixteen".