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401877000096 = 2531113144720231
BaseRepresentation
bin1011101100100011011…
…11000101111110100000
31102102022111110212001220
411312101233011332200
523041021003000341
6504341510455040
741014613065335
oct5662157057640
91372274425056
10401877000096
111454870a9350
1265a77964480
132bb8747b1a0
14156455a098c
15a6c15b1a66
hex5d91bc5fa0

401877000096 has 192 divisors, whose sum is σ = 1240272746496. Its totient is φ = 112329907200.

The previous prime is 401877000073. The next prime is 401877000103. The reversal of 401877000096 is 690000778104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19854301 + ... + 19874531.

It is an arithmetic number, because the mean of its divisors is an integer number (6459753888).

Almost surely, 2401877000096 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 401877000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620136373248).

401877000096 is an abundant number, since it is smaller than the sum of its proper divisors (838395746400).

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

401877000096 is a wasteful number, since it uses less digits than its factorization.

401877000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21715 (or 21707 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 401877000096 in words is "four hundred one billion, eight hundred seventy-seven million, ninety-six", and thus it is an aban number.