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5441817984 = 273291074567
BaseRepresentation
bin1010001000101101…
…11000110110000000
3112001020201222220020
411010112320312000
542121101133414
62255553013440
7251565455361
oct50426706600
915036658806
105441817984
112342845439
12107a554280
13689552355
14398a2db68
1521cb2a7a9
hex1445b8d80

5441817984 has 128 divisors (see below), whose sum is σ = 15096326400. Its totient is φ = 1734641664.

The previous prime is 5441817961. The next prime is 5441818021. The reversal of 5441817984 is 4897181445.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×54418179842 = 59226765941971648512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189269 + ... + 1193835.

It is an arithmetic number, because the mean of its divisors is an integer number (117940050).

Almost surely, 25441817984 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 5441817984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548163200).

5441817984 is an abundant number, since it is smaller than the sum of its proper divisors (9654508416).

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

5441817984 is a wasteful number, since it uses less digits than its factorization.

5441817984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4708 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 5441817984 is about 73768.6788820296. The cubic root of 5441817984 is about 1758.9277628763.

The spelling of 5441817984 in words is "five billion, four hundred forty-one million, eight hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 107 116 128 174 192 214 232 321 348 384 428 464 642 696 856 928 1284 1392 1712 1856 2568 2784 3103 3424 3712 4567 5136 5568 6206 6848 9134 9309 10272 11136 12412 13696 13701 18268 18618 20544 24824 27402 36536 37236 41088 49648 54804 73072 74472 99296 109608 132443 146144 148944 198592 219216 264886 292288 297888 397184 397329 438432 488669 529772 584576 595776 794658 876864 977338 1059544 1191552 1466007 1589316 1753728 1954676 2119088 2932014 3178632 3909352 4238176 5864028 6357264 7818704 8476352 11728056 12714528 14171401 15637408 16952704 23456112 25429056 28342802 31274816 42514203 46912224 50858112 56685604 62549632 85028406 93824448 113371208 170056812 187648896 226742416 340113624 453484832 680227248 906969664 1360454496 1813939328 2720908992 5441817984