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52807970304 = 29337974793
BaseRepresentation
bin110001001011100110…
…011010111000000000
312001022021111211202000
4301023212122320000
51331122320022204
640132030024000
73546426225045
oct611346327000
9161267454660
1052807970304
11204397a4771
12a299348000
134c9772aa0b
1427ad62b1cc
151591156039
hexc4b99ae00

52807970304 has 160 divisors (see below), whose sum is σ = 156544043040. Its totient is φ = 17576902656.

The previous prime is 52807970279. The next prime is 52807970329. The reversal of 52807970304 is 40307970825.

52807970304 is a `hidden beast` number, since 528 + 0 + 7 + 97 + 0 + 30 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (52807970279) and next prime (52807970329).

It is a self number, because there is not a number n which added to its sum of digits gives 52807970304.

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, 11015332 + ... + 11020124.

It is an arithmetic number, because the mean of its divisors is an integer number (978400269).

Almost surely, 252807970304 is an apocalyptic number.

52807970304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52807970304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78272021520).

52807970304 is an abundant number, since it is smaller than the sum of its proper divisors (103736072736).

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

52807970304 is an equidigital number, since it uses as much as digits as its factorization.

52807970304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 52807970304 in words is "fifty-two billion, eight hundred seven million, nine hundred seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 797 864 1152 1536 1594 1728 2304 2391 3188 3456 4608 4782 4793 6376 6912 7173 9564 9586 12752 13824 14346 14379 19128 19172 21519 25504 28692 28758 38256 38344 43038 43137 51008 57384 57516 76512 76688 86076 86274 102016 114768 115032 129411 153024 153376 172152 172548 204032 229536 230064 258822 306048 306752 344304 345096 408064 459072 460128 517644 612096 613504 688608 690192 918144 920256 1035288 1224192 1227008 1377216 1380384 1836288 1840512 2070576 2454016 2754432 2760768 3672576 3681024 3820021 4141152 5508864 5521536 7362048 7640042 8282304 11017728 11043072 11460063 15280084 16564608 22086144 22920126 30560168 33129216 34380189 45840252 61120336 66258432 68760378 91680504 103140567 122240672 137520756 183361008 206281134 244481344 275041512 366722016 412562268 488962688 550083024 733444032 825124536 977925376 1100166048 1466888064 1650249072 1955850752 2200332096 2933776128 3300498144 4400664192 5867552256 6600996288 8801328384 13201992576 17602656768 26403985152 52807970304