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214927074048 = 283719194289
BaseRepresentation
bin1100100000101010100…
…1101110001100000000
3202112202122012121120210
43020022221232030000
512010132312332143
6242423001034120
721346043662221
oct3101251561400
9675678177523
10214927074048
1183171803935
12357a2785940
1317362a1397b
14a58c761248
1558cdb81033
hex320aa6e300

214927074048 has 144 divisors (see below), whose sum is σ = 580842662400. Its totient is φ = 70540001280.

The previous prime is 214927074013. The next prime is 214927074053. The reversal of 214927074048 is 840470729412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 214927073988 and 214927074006.

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, 50109088 + ... + 50113376.

It is an arithmetic number, because the mean of its divisors is an integer number (4033629600).

Almost surely, 2214927074048 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 214927074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290421331200).

214927074048 is an abundant number, since it is smaller than the sum of its proper divisors (365915588352).

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

214927074048 is an equidigital number, since it uses as much as digits as its factorization.

214927074048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 214927074048 in words is "two hundred fourteen billion, nine hundred twenty-seven million, seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 568 768 852 919 1136 1704 1838 2272 2757 3408 3676 4289 4544 5514 6816 7352 8578 9088 11028 12867 13632 14704 17156 18176 22056 25734 27264 29408 34312 44112 51468 54528 58816 65249 68624 88224 102936 117632 130498 137248 176448 195747 205872 235264 260996 274496 304519 352896 391494 411744 521992 548992 609038 705792 782988 823488 913557 1043984 1097984 1218076 1565976 1646976 1827114 2087968 2436152 3131952 3293952 3654228 3941591 4175936 4872304 6263904 7308456 7883182 8351872 9744608 11824773 12527808 14616912 15766364 16703744 19489216 23649546 25055616 29233824 31532728 38978432 47299092 50111232 58467648 63065456 77956864 94598184 116935296 126130912 189196368 233870592 252261824 279852961 378392736 504523648 559705922 756785472 839558883 1009047296 1119411844 1513570944 1679117766 2238823688 3027141888 3358235532 4477647376 6716471064 8955294752 13432942128 17910589504 26865884256 35821179008 53731768512 71642358016 107463537024 214927074048