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551343641504 = 25171498577937
BaseRepresentation
bin10000000010111101010…
…01000101001110100000
31221201010002022221111112
420001132221011032200
533013122433012004
61101141143402452
754555544425305
oct10013651051640
91851102287445
10551343641504
111a2907126277
128aa2ba53428
133ccb7395936
141c9841950ac
15e51d438e6e
hex805ea453a0

551343641504 has 96 divisors (see below), whose sum is σ = 1158517760400. Its totient is φ = 257381367808.

The previous prime is 551343641473. The next prime is 551343641539. The reversal of 551343641504 is 405146343155.

It can be written as a sum of positive squares in 8 ways, for example, as 516989760400 + 34353881104 = 719020^2 + 185348^2 .

It is a super-2 number, since 2×5513436415042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69461024 + ... + 69468960.

Almost surely, 2551343641504 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 551343641504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579258880200).

551343641504 is an abundant number, since it is smaller than the sum of its proper divisors (607174118896).

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

551343641504 is a wasteful number, since it uses less digits than its factorization.

551343641504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8970 (or 8962 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

Adding to 551343641504 its reverse (405146343155), we get a palindrome (956489984659).

The spelling of 551343641504 in words is "five hundred fifty-one billion, three hundred forty-three million, six hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 149 272 298 544 596 857 1192 1714 2384 2533 3428 4768 5066 6856 7937 10132 13712 14569 15874 20264 27424 29138 31748 40528 58276 63496 81056 116552 126992 127693 134929 233104 253984 255386 269858 466208 510772 539716 1021544 1079432 1182613 2043088 2158864 2170781 2365226 4086176 4317728 4341562 4730452 6802009 8683124 9460904 13604018 17366248 18921808 20104421 27208036 34732496 37843616 40208842 54416072 69464992 80417684 108832144 115634153 160835368 217664288 231268306 321670736 462536612 643341472 925073224 1013499341 1850146448 2026998682 3700292896 4053997364 8107994728 16215989456 17229488797 32431978912 34458977594 68917955188 137835910376 275671820752 551343641504