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5448766464 = 210321992971
BaseRepresentation
bin1010001001100010…
…11001010000000000
3112001201211000102100
411010301121100000
542124341011324
62300401550400
7252011515341
oct50461312000
915051730370
105448766464
112346760989
121080945400
1368ab15c8b
1439991c0c8
1521d54e4c9
hex144c59400

5448766464 has 132 divisors (see below), whose sum is σ = 15817578400. Its totient is φ = 1806520320.

The previous prime is 5448766451. The next prime is 5448766481. The reversal of 5448766464 is 4646678445.

It is a happy number.

5448766464 is a `hidden beast` number, since 5 + 44 + 87 + 66 + 464 = 666.

It is a super-2 number, since 2×54487664642 = 59378111958422126592, 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 5448766464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1832499 + ... + 1835469.

Almost surely, 25448766464 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 5448766464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7908789200).

5448766464 is an abundant number, since it is smaller than the sum of its proper divisors (10368811936).

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

5448766464 is a wasteful number, since it uses less digits than its factorization.

5448766464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3175 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The square root of 5448766464 is about 73815.7602683871. The cubic root of 5448766464 is about 1759.6760836397.

The spelling of 5448766464 in words is "five billion, four hundred forty-eight million, seven hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 199 256 288 384 398 512 576 597 768 796 1024 1152 1194 1536 1592 1791 2304 2388 2971 3072 3184 3582 4608 4776 5942 6368 7164 8913 9216 9552 11884 12736 14328 17826 19104 23768 25472 26739 28656 35652 38208 47536 50944 53478 57312 71304 76416 95072 101888 106956 114624 142608 152832 190144 203776 213912 229248 285216 305664 380288 427824 458496 570432 591229 611328 760576 855648 916992 1140864 1182458 1521152 1711296 1773687 1833984 2281728 2364916 3042304 3422592 3547374 4563456 4729832 5321061 6845184 7094748 9126912 9459664 10642122 13690368 14189496 18919328 21284244 27380736 28378992 37838656 42568488 56757984 75677312 85136976 113515968 151354624 170273952 227031936 302709248 340547904 454063872 605418496 681095808 908127744 1362191616 1816255488 2724383232 5448766464