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406497063104 = 2611661873541
BaseRepresentation
bin1011110101001010001…
…11001111000011000000
31102212020110221101001122
411322211013033003000
523130001222004404
6510424150451412
741240243011646
oct5724507170300
91385213841048
10406497063104
11147437aa4040
1266947063b68
132c4426a1492
1415963001196
15a891eb93be
hex5ea51cf0c0

406497063104 has 56 divisors (see below), whose sum is σ = 881306041296. Its totient is φ = 184491648000.

The previous prime is 406497063061. The next prime is 406497063121. The reversal of 406497063104 is 401360794604.

It is a super-2 number, since 2×4064970631042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28574 + ... + 902114.

Almost surely, 2406497063104 is an apocalyptic number.

406497063104 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 406497063104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440653020648).

406497063104 is an abundant number, since it is smaller than the sum of its proper divisors (474808978192).

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

406497063104 is a wasteful number, since it uses less digits than its factorization.

406497063104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874225 (or 874215 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 406497063104 in words is "four hundred six billion, four hundred ninety-seven million, sixty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 661 704 1322 2644 5288 7271 10576 14542 21152 29084 42304 58168 116336 232672 465344 873541 1747082 3494164 6988328 9608951 13976656 19217902 27953312 38435804 55906624 76871608 153743216 307486432 577410601 614972864 1154821202 2309642404 4619284808 6351516611 9238569616 12703033222 18477139232 25406066444 36954278464 50812132888 101624265776 203248531552 406497063104