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54609047296 = 2819107317331
BaseRepresentation
bin110010110110111100…
…111110111100000000
312012221210120000220021
4302312330332330000
51343314404003141
641030445223224
73642156146266
oct626674767400
9165853500807
1054609047296
1121183424551
12a700561b14
1351c390704b
142900904436
1516493236d1
hexcb6f3ef00

54609047296 has 144 divisors (see below), whose sum is σ = 116530565760. Its totient is φ = 25467678720.

The previous prime is 54609047287. The next prime is 54609047333. The reversal of 54609047296 is 69274090645.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 164981851 + ... + 164982181.

It is an arithmetic number, because the mean of its divisors is an integer number (809240040).

Almost surely, 254609047296 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 54609047296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58265282880).

54609047296 is an abundant number, since it is smaller than the sum of its proper divisors (61921518464).

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

54609047296 is a wasteful number, since it uses less digits than its factorization.

54609047296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 54609047296 in words is "fifty-four billion, six hundred nine million, forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 107 128 152 214 256 304 317 331 428 608 634 662 856 1216 1268 1324 1712 2033 2432 2536 2648 3424 4066 4864 5072 5296 6023 6289 6848 8132 10144 10592 12046 12578 13696 16264 20288 21184 24092 25156 27392 32528 33919 35417 40576 42368 48184 50312 65056 67838 70834 81152 84736 96368 100624 104927 130112 135676 141668 192736 201248 209854 260224 271352 283336 385472 402496 419708 520448 542704 566672 644461 672923 770944 804992 839416 1085408 1133344 1288922 1345846 1541888 1609984 1678832 1993613 2170816 2266688 2577844 2691692 3357664 3987226 4341632 4533376 5155688 5383384 6715328 7974452 8683264 9066752 10311376 10766768 11227189 13430656 15948904 20622752 21533536 22454378 26861312 31897808 41245504 43067072 44908756 63795616 82491008 86134144 89817512 127591232 164982016 172268288 179635024 213316591 255182464 359270048 426633182 510364928 718540096 853266364 1437080192 1706532728 2874160384 3413065456 6826130912 13652261824 27304523648 54609047296