Search a number
-
+
54541453472 = 25111632833359
BaseRepresentation
bin110010110010111011…
…001000100010100000
312012210002100220121022
4302302323020202200
51343200103002342
641020032345012
73640405463612
oct626273104240
9165702326538
1054541453472
1121149257290
12a6a19a5168
1351b28cb7bc
1428d594adb2
1516434209d2
hexcb2ec88a0

54541453472 has 96 divisors (see below), whose sum is σ = 118310492160. Its totient is φ = 24545099520.

The previous prime is 54541453471. The next prime is 54541453513. The reversal of 54541453472 is 27435414545.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (54541453471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16235729 + ... + 16239087.

It is an arithmetic number, because the mean of its divisors is an integer number (1232400960).

Almost surely, 254541453472 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 54541453472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59155246080).

54541453472 is an abundant number, since it is smaller than the sum of its proper divisors (63769038688).

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

54541453472 is a wasteful number, since it uses less digits than its factorization.

54541453472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3818 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 44.

The spelling of 54541453472 in words is "fifty-four billion, five hundred forty-one million, four hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 163 176 283 326 352 566 652 1132 1304 1793 2264 2608 3113 3359 3586 4528 5216 6226 6718 7172 9056 12452 13436 14344 24904 26872 28688 36949 46129 49808 53744 57376 73898 92258 99616 107488 147796 184516 295592 369032 507419 547517 591184 738064 950597 1014838 1095034 1182368 1476128 1901194 2029676 2190068 3802388 4059352 4380136 6022687 7604776 8118704 8760272 10456567 12045374 15209552 16237408 17520544 20913134 24090748 30419104 41826268 48181496 83652536 96362992 154947311 167305072 192725984 309894622 334610144 619789244 1239578488 1704420421 2479156976 3408840842 4958313952 6817681684 13635363368 27270726736 54541453472