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52313957248 = 2773115112473
BaseRepresentation
bin110000101110001001…
…111010001110000000
312000000211221101020011
4300232021322032000
51324114333112443
640011021354304
73531250204540
oct605611721600
9160024841204
1052313957248
1120205957413
12a17ba08994
134c192909b7
142763b93320
151562ac1b9d
hexc2e27a380

52313957248 has 128 divisors (see below), whose sum is σ = 123774013440. Its totient is φ = 21551616000.

The previous prime is 52313957231. The next prime is 52313957261. The reversal of 52313957248 is 84275931325.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (49) 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, 4187940 + ... + 4200412.

It is an arithmetic number, because the mean of its divisors is an integer number (966984480).

Almost surely, 252313957248 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 52313957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61887006720).

52313957248 is an abundant number, since it is smaller than the sum of its proper divisors (71460056192).

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

52313957248 is a wasteful number, since it uses less digits than its factorization.

52313957248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12676 (or 12664 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 49.

The spelling of 52313957248 in words is "fifty-two billion, three hundred thirteen million, nine hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 151 217 224 248 302 434 448 496 604 868 896 992 1057 1208 1736 1984 2114 2416 3472 3968 4228 4681 4832 6944 8456 9362 9664 12473 13888 16912 18724 19328 24946 27776 32767 33824 37448 49892 65534 67648 74896 87311 99784 131068 135296 149792 174622 199568 262136 299584 349244 386663 399136 524272 599168 698488 773326 798272 1048544 1396976 1546652 1596544 1883423 2097088 2706641 2793952 3093304 3766846 4194176 5413282 5587904 6186608 7533692 10826564 11175808 12373216 13183961 15067384 21653128 24746432 26367922 30134768 43306256 49492864 52735844 58386113 60269536 86612512 105471688 116772226 120539072 173225024 210943376 233544452 241078144 346450048 408702791 421886752 467088904 817405582 843773504 934177808 1634811164 1687547008 1868355616 3269622328 3736711232 6539244656 7473422464 13078489312 26156978624 52313957248