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214667996928 = 28371114232551
BaseRepresentation
bin1100011111101100110…
…1011010111100000000
3202112002120201010120220
43013323031122330000
512004120001400203
6242341144103040
721336446603310
oct3077315327400
9675076633526
10214667996928
1183049540410
123572ba64a80
13173211437b8
14a5661a1440
1558b6057653
hex31fb35af00

214667996928 has 288 divisors, whose sum is σ = 713087434752. Its totient is φ = 55696896000.

The previous prime is 214667996897. The next prime is 214667996929. The reversal of 214667996928 is 829699766412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214667996929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84149253 + ... + 84151803.

Almost surely, 2214667996928 is an apocalyptic number.

214667996928 is a gapful number since it is divisible by the number (28) 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 214667996928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356543717376).

214667996928 is an abundant number, since it is smaller than the sum of its proper divisors (498419437824).

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

214667996928 is a wasteful number, since it uses less digits than its factorization.

214667996928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011 (or 3997 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 69.

The spelling of 214667996928 in words is "two hundred fourteen billion, six hundred sixty-seven million, nine hundred ninety-six thousand, nine hundred twenty-eight".