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5455575456 = 2534110313457
BaseRepresentation
bin1010001010010110…
…10111100110100000
3112002012121221121020
411011023113212200
542133111403311
62301203525440
7252123424542
oct50513274640
915065557536
105455575456
11234a591651
121083089880
1368c35b276
1439a7b1692
1521de46c06
hex1452d79a0

5455575456 has 96 divisors (see below), whose sum is σ = 14813705088. Its totient is φ = 1756815360.

The previous prime is 5455575409. The next prime is 5455575473. The reversal of 5455575456 is 6545755545.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×54555754562 = 59526607112219215872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5455575399 and 5455575408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398680 + ... + 412136.

It is an arithmetic number, because the mean of its divisors is an integer number (154309428).

Almost surely, 25455575456 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 5455575456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406852544).

5455575456 is an abundant number, since it is smaller than the sum of its proper divisors (9358129632).

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

5455575456 is a wasteful number, since it uses less digits than its factorization.

5455575456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13614 (or 13606 counting only the distinct ones).

The product of its digits is 10500000, while the sum is 51.

The square root of 5455575456 is about 73861.8674012511. The cubic root of 5455575456 is about 1760.4087652485.

The spelling of 5455575456 in words is "five billion, four hundred fifty-five million, five hundred seventy-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 103 123 164 206 246 309 328 412 492 618 656 824 984 1236 1312 1648 1968 2472 3296 3936 4223 4944 8446 9888 12669 13457 16892 25338 26914 33784 40371 50676 53828 67568 80742 101352 107656 135136 161484 202704 215312 322968 405408 430624 551737 645936 1103474 1291872 1386071 1655211 2206948 2772142 3310422 4158213 4413896 5544284 6620844 8316426 8827792 11088568 13241688 16632852 17655584 22177136 26483376 33265704 44354272 52966752 56828911 66531408 113657822 133062816 170486733 227315644 340973466 454631288 681946932 909262576 1363893864 1818525152 2727787728 5455575456