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299980508352 = 263717193122291
BaseRepresentation
bin1000101110110000011…
…10110100110011000000
31001200022011020202020020
410113120032310303000
514403330002231402
6345450435213440
730446540151360
oct4273016646300
91050264222206
10299980508352
111062481a39a8
124a17aa47280
1322398a959a5
141073a70a9a0
157c0ab0d8bc
hex45d83b4cc0

299980508352 has 448 divisors, whose sum is σ = 1043650805760. Its totient is φ = 73952870400.

The previous prime is 299980508351. The next prime is 299980508389. The reversal of 299980508352 is 253805089992.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2999805083522 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (299980508351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13446327 + ... + 13468617.

Almost surely, 2299980508352 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 299980508352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521825402880).

299980508352 is an abundant number, since it is smaller than the sum of its proper divisors (743670297408).

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

299980508352 is a wasteful number, since it uses less digits than its factorization.

299980508352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22380 (or 22370 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 60.

The spelling of 299980508352 in words is "two hundred ninety-nine billion, nine hundred eighty million, five hundred eight thousand, three hundred fifty-two".