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5480144784 = 24323121992
BaseRepresentation
bin1010001101010010…
…00101111110010000
3112010220212012101100
411012221011332100
542210404113114
62303442304400
7252542314332
oct50651057620
915126765340
105480144784
112362442984
12108b358100
1369448142a
1439db69452
1522119b909
hex146a45f90

5480144784 has 135 divisors (see below), whose sum is σ = 15927524379. Its totient is φ = 1758905280.

The previous prime is 5480144773. The next prime is 5480144807. The reversal of 5480144784 is 4874410845.

The square root of 5480144784 is 74028.

It is a perfect power (a square), and thus also a powerful number.

5480144784 is a `hidden beast` number, since 54 + 80 + 1 + 447 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27538317 + ... + 27538515.

Almost surely, 25480144784 is an apocalyptic number.

5480144784 is the 74028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5480144784

5480144784 is an abundant number, since it is smaller than the sum of its proper divisors (10447379595).

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

5480144784 is a wasteful number, since it uses less digits than its factorization.

5480144784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The cubic root of 5480144784 is about 1763.0474904541.

The spelling of 5480144784 in words is "five billion, four hundred eighty million, one hundred forty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 199 248 279 372 398 496 558 597 744 796 961 1116 1194 1488 1592 1791 1922 2232 2388 2883 3184 3582 3844 4464 4776 5766 6169 7164 7688 8649 9552 11532 12338 14328 15376 17298 18507 23064 24676 28656 34596 37014 39601 46128 49352 55521 69192 74028 79202 98704 111042 118803 138384 148056 158404 191239 222084 237606 296112 316808 356409 382478 444168 475212 573717 633616 712818 764956 888336 950424 1147434 1227631 1425636 1529912 1721151 1900848 2294868 2455262 2851272 3059824 3442302 3682893 4589736 4910524 5702544 6884604 7365786 9179472 9821048 11048679 13769208 14731572 19642096 22097358 27538416 29463144 38056561 44194716 58926288 76113122 88389432 114169683 152226244 176778864 228339366 304452488 342509049 456678732 608904976 685018098 913357464 1370036196 1826714928 2740072392 5480144784