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163921436928 = 28323173149211
BaseRepresentation
bin1001100010101001111…
…0101010000100000000
3120200002222002210011200
42120222132222010000
510141202341440203
6203145433141200
714562061136634
oct2305236520400
9520088083150
10163921436928
1163578417827
1227928b5a800
13125c4811cc2
147d10656dc4
1543e5d949a3
hex262a7aa100

163921436928 has 432 divisors, whose sum is σ = 500233843200. Its totient is φ = 51557990400.

The previous prime is 163921436927. The next prime is 163921436951. The reversal of 163921436928 is 829634129361.

163921436928 is a `hidden beast` number, since 1 + 63 + 9 + 214 + 369 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3359232) is a multiple of the sum of its prime factors (486).

It is not an unprimeable number, because it can be changed into a prime (163921436923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 776878743 + ... + 776878953.

Almost surely, 2163921436928 is an apocalyptic number.

163921436928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163921436928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250116921600).

163921436928 is an abundant number, since it is smaller than the sum of its proper divisors (336312406272).

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

163921436928 is a wasteful number, since it uses less digits than its factorization.

163921436928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 469 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 163921436928 in words is "one hundred sixty-three billion, nine hundred twenty-one million, four hundred thirty-six thousand, nine hundred twenty-eight".