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400012373376 = 2733731130677
BaseRepresentation
bin1011101001000101001…
…10000110110110000000
31102020111112212000002000
411310202212012312000
523023211131422001
6503432501224000
740620452034000
oct5644246066600
91366445760060
10400012373376
1114470a613730
1265637402000
132b94b081275
1415509aa4000
15a612a3ea86
hex5d22986d80

400012373376 has 512 divisors, whose sum is σ = 1501994880000. Its totient is φ = 103895930880.

The previous prime is 400012373347. The next prime is 400012373381. The reversal of 400012373376 is 673373210004.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 400012373376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13024150 + ... + 13054826.

It is an arithmetic number, because the mean of its divisors is an integer number (2933583750).

Almost surely, 2400012373376 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 400012373376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750997440000).

400012373376 is an abundant number, since it is smaller than the sum of its proper divisors (1101982506624).

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

400012373376 is a wasteful number, since it uses less digits than its factorization.

400012373376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30732 (or 30700 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 400012373376 in words is "four hundred billion, twelve million, three hundred seventy-three thousand, three hundred seventy-six".