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413673509964 = 22311134167127691
BaseRepresentation
bin1100000010100001101…
…11001101010001001100
31110112202121200122102210
412001100313031101030
523234200404304324
6514012230550420
741613133550361
oct6012067152114
91415677618383
10413673509964
1114a48aa03860
126820a508410
1330017405c40
141604416c468
15ab62038d29
hex6050dcd44c

413673509964 has 384 divisors, whose sum is σ = 1189985255424. Its totient is φ = 110170368000.

The previous prime is 413673509959. The next prime is 413673509969. The reversal of 413673509964 is 469905376314.

It is an interprime number because it is at equal distance from previous prime (413673509959) and next prime (413673509969).

It is a super-2 number, since 2×4136735099642 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (413673509969) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 598658859 + ... + 598659549.

It is an arithmetic number, because the mean of its divisors is an integer number (3098919936).

Almost surely, 2413673509964 is an apocalyptic number.

413673509964 is a gapful number since it is divisible by the number (44) 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 413673509964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594992627712).

413673509964 is an abundant number, since it is smaller than the sum of its proper divisors (776311745460).

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

413673509964 is a wasteful number, since it uses less digits than its factorization.

413673509964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 57.

It can be divided in two parts, 41367350 and 9964, that added together give a palindrome (41377314).

The spelling of 413673509964 in words is "four hundred thirteen billion, six hundred seventy-three million, five hundred nine thousand, nine hundred sixty-four".