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554425640010 = 2325112671209669
BaseRepresentation
bin10000001000101100101…
…01111110010001001010
31222000001212122200122100
420010112111332101022
533040430430440020
61102411041334230
755025120116554
oct10042625762112
91860055580570
10554425640010
111a4148902380
128b550037376
1340388a5a0a8
141cb976244d4
15e64dcc8a90
hex811657e44a

554425640010 has 96 divisors (see below), whose sum is σ = 1573148977920. Its totient is φ = 134355254400.

The previous prime is 554425639939. The next prime is 554425640039. The reversal of 554425640010 is 10046524455.

554425640010 is a `hidden beast` number, since 5 + 5 + 4 + 4 + 2 + 5 + 640 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×5544256400102 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2539456 + ... + 2749124.

It is an arithmetic number, because the mean of its divisors is an integer number (16386968520).

Almost surely, 2554425640010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554425640010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786574488960).

554425640010 is an abundant number, since it is smaller than the sum of its proper divisors (1018723337910).

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

554425640010 is a wasteful number, since it uses less digits than its factorization.

554425640010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212364 (or 212361 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 554425640010 in words is "five hundred fifty-four billion, four hundred twenty-five million, six hundred forty thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2671 5342 8013 13355 16026 24039 26710 29381 40065 48078 58762 80130 88143 120195 146905 176286 209669 240390 264429 293810 419338 440715 528858 629007 881430 1048345 1258014 1322145 1887021 2096690 2306359 2644290 3145035 3774042 4612718 6290070 6919077 9435105 11531795 13838154 18870210 20757231 23063590 34595385 41514462 69190770 103786155 207572310 560025899 1120051798 1680077697 2800129495 3360155394 5040233091 5600258990 6160284889 8400388485 10080466182 12320569778 16800776970 18480854667 25201165455 30801424445 36961709334 50402330910 55442564001 61602848890 92404273335 110885128002 184808546670 277212820005 554425640010