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200071378336 = 251719431014457
BaseRepresentation
bin1011101001010100101…
…1101111010110100000
3201010102022121002011111
42322111023233112200
511234221233101321
6231524515553104
720311645441054
oct2722513572640
9633368532144
10200071378336
1177939093865
12329375bb794
1315b3605118b
14997d781c64
15530e8735e1
hex2e952ef5a0

200071378336 has 192 divisors, whose sum is σ = 453770190720. Its totient is φ = 86239641600.

The previous prime is 200071378333. The next prime is 200071378343. The reversal of 200071378336 is 633873170002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (200071378333) 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, 44887020 + ... + 44891476.

It is an arithmetic number, because the mean of its divisors is an integer number (2363386410).

Almost surely, 2200071378336 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 200071378336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226885095360).

200071378336 is an abundant number, since it is smaller than the sum of its proper divisors (253698812384).

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

200071378336 is a wasteful number, since it uses less digits than its factorization.

200071378336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 200071378336 in words is "two hundred billion, seventy-one million, three hundred seventy-eight thousand, three hundred thirty-six".