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402087198016 = 26723719118143
BaseRepresentation
bin1011101100111100100…
…00111011110101000000
31102102212011000000102001
411312132100323311000
523041433310314031
6504414420033344
741023044535300
oct5663620736500
91372764000361
10402087198016
11145584817139
1265b16232854
132bbbbb9615a
1415665479600
15a6d4c82861
hex5d9e43bd40

402087198016 has 168 divisors, whose sum is σ = 958288859136. Its totient is φ = 166778680320.

The previous prime is 402087198011. The next prime is 402087198101. The reversal of 402087198016 is 610891780204.

It is a super-2 number, since 2×4020871980162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402087198011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22153041 + ... + 22171183.

It is an arithmetic number, because the mean of its divisors is an integer number (5704100352).

Almost surely, 2402087198016 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 402087198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479144429568).

402087198016 is an abundant number, since it is smaller than the sum of its proper divisors (556201661120).

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

402087198016 is a wasteful number, since it uses less digits than its factorization.

402087198016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18397 (or 18380 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 402087198016 in words is "four hundred two billion, eighty-seven million, one hundred ninety-eight thousand, sixteen".