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5450820672 = 263114395879
BaseRepresentation
bin1010001001110010…
…01110110001000000
3112001212200101021010
411010321032301000
542130402230142
62300514000520
7252035132313
oct50471166100
915055611233
105450820672
112347934280
121081576140
1368b384c9b
14399cd497a
1521d807e9c
hex144e4ec40

5450820672 has 112 divisors (see below), whose sum is σ = 15771571200. Its totient is φ = 1647720960.

The previous prime is 5450820607. The next prime is 5450820673. The reversal of 5450820672 is 2760280545.

It is a super-2 number, since 2×54508206722 = 59422891996605063168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5450820672.

It is not an unprimeable number, because it can be changed into a prime (5450820673) by changing a digit.

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, 924229 + ... + 930107.

It is an arithmetic number, because the mean of its divisors is an integer number (140817600).

Almost surely, 25450820672 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 5450820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7885785600).

5450820672 is an abundant number, since it is smaller than the sum of its proper divisors (10320750528).

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

5450820672 is a wasteful number, since it uses less digits than its factorization.

5450820672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6334 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 5450820672 is about 73829.6733840805. The cubic root of 5450820672 is about 1759.8971909643.

The spelling of 5450820672 in words is "five billion, four hundred fifty million, eight hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 439 528 704 878 1056 1317 1756 2112 2634 3512 4829 5268 5879 7024 9658 10536 11758 14048 14487 17637 19316 21072 23516 28096 28974 35274 38632 42144 47032 57948 64669 70548 77264 84288 94064 115896 129338 141096 154528 188128 194007 231792 258676 282192 309056 376256 388014 463584 517352 564384 776028 927168 1034704 1128768 1552056 2069408 2580881 3104112 4138816 5161762 6208224 7742643 10323524 12416448 15485286 20647048 28389691 30970572 41294096 56779382 61941144 82588192 85169073 113558764 123882288 165176384 170338146 227117528 247764576 340676292 454235056 495529152 681352584 908470112 1362705168 1816940224 2725410336 5450820672