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554971442328 = 2335409697993
BaseRepresentation
bin10000001001101101110…
…00000010110010011000
31222001110220200022200000
420010312320002302120
533043040142123303
61102541140013000
755044465266142
oct10046670026230
91861426608600
10554971442328
111a43a8a02776
128b682991160
1340444b5aa44
141cc09cddc92
15e681b8cda3
hex8136e02c98

554971442328 has 96 divisors (see below), whose sum is σ = 1562529368400. Its totient is φ = 184537916928.

The previous prime is 554971442297. The next prime is 554971442329. The reversal of 554971442328 is 823244179455.

It is a happy number.

554971442328 is a `hidden beast` number, since 5 + 5 + 497 + 144 + 2 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554971442329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446100 + ... + 1144092.

Almost surely, 2554971442328 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 554971442328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781264684200).

554971442328 is an abundant number, since it is smaller than the sum of its proper divisors (1007557926072).

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

554971442328 is a wasteful number, since it uses less digits than its factorization.

554971442328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698423 (or 698407 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 554971442328 in words is "five hundred fifty-four billion, nine hundred seventy-one million, four hundred forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 409 486 648 818 972 1227 1636 1944 2454 3272 3681 4908 7362 9816 11043 14724 22086 29448 33129 44172 66258 88344 99387 132516 198774 265032 397548 697993 795096 1395986 2093979 2791972 4187958 5583944 6281937 8375916 12563874 16751832 18845811 25127748 37691622 50255496 56537433 75383244 113074866 150766488 169612299 226149732 285479137 339224598 452299464 570958274 678449196 856437411 1141916548 1356898392 1712874822 2283833096 2569312233 3425749644 5138624466 6851499288 7707936699 10277248932 15415873398 20554497864 23123810097 30831746796 46247620194 61663493592 69371430291 92495240388 138742860582 184990480776 277485721164 554971442328