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5451374664 = 23321928314081
BaseRepresentation
bin1010001001110110…
…10110000001001000
3112001220201112012100
411010323112001020
542131022442124
62300533513400
7252042630411
oct50473260110
915056645170
105451374664
11234818251a
1210817a2860
1368b51a1a8
14399dda808
1521d8b71c9
hex144ed6048

5451374664 has 96 divisors (see below), whose sum is σ = 15597223200. Its totient is φ = 1715281920.

The previous prime is 5451374659. The next prime is 5451374671. The reversal of 5451374664 is 4664731545.

5451374664 is a `hidden beast` number, since 5 + 4 + 513 + 74 + 6 + 64 = 666.

It is a super-2 number, since 2×54513746642 = 59434971454602225792, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 380104 + ... + 394184.

It is an arithmetic number, because the mean of its divisors is an integer number (162471075).

Almost surely, 25451374664 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 5451374664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7798611600).

5451374664 is an abundant number, since it is smaller than the sum of its proper divisors (10145848536).

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

5451374664 is a wasteful number, since it uses less digits than its factorization.

5451374664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14395 (or 14388 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 5451374664 is about 73833.4251135622. The cubic root of 5451374664 is about 1759.9568110958.

The spelling of 5451374664 in words is "five billion, four hundred fifty-one million, three hundred seventy-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 283 342 456 566 684 849 1132 1368 1698 2264 2547 3396 5094 5377 6792 10188 10754 14081 16131 20376 21508 28162 32262 42243 43016 48393 56324 64524 84486 96786 112648 126729 129048 168972 193572 253458 267539 337944 387144 506916 535078 802617 1013832 1070156 1605234 2140312 2407851 3210468 3984923 4815702 6420936 7969846 9631404 11954769 15939692 19262808 23909538 31879384 35864307 47819076 71728614 75713537 95638152 143457228 151427074 227140611 286914456 302854148 454281222 605708296 681421833 908562444 1362843666 1817124888 2725687332 5451374664