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212151161152 = 26710911338447
BaseRepresentation
bin1100010110010100110…
…0011101000101000000
3202021121011211121222001
43011211030131011000
511433441144124102
6241243315353344
721220206054550
oct3054514350500
9667534747861
10212151161152
1181a77888447
1235148bb2854
131700c89b268
14a3a7c0b160
1557ba103487
hex316531d140

212151161152 has 112 divisors (see below), whose sum is σ = 489852126720. Its totient is φ = 89288220672.

The previous prime is 212151161143. The next prime is 212151161239. The reversal of 212151161152 is 251161151212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 212151161152.

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, 5498793 + ... + 5537239.

Almost surely, 2212151161152 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 212151161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244926063360).

212151161152 is an abundant number, since it is smaller than the sum of its proper divisors (277700965568).

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

212151161152 is a wasteful number, since it uses less digits than its factorization.

212151161152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38688 (or 38678 counting only the distinct ones).

The product of its digits is 1200, while the sum is 28.

The spelling of 212151161152 in words is "two hundred twelve billion, one hundred fifty-one million, one hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 113 218 224 226 436 448 452 763 791 872 904 1526 1582 1744 1808 3052 3164 3488 3616 6104 6328 6976 7232 12208 12317 12656 24416 24634 25312 38447 48832 49268 50624 76894 86219 98536 153788 172438 197072 269129 307576 344876 394144 538258 615152 689752 788288 1076516 1230304 1379504 2153032 2460608 2759008 4190723 4306064 4344511 5518016 8381446 8612128 8689022 16762892 17224256 17378044 29335061 30411577 33525784 34756088 58670122 60823154 67051568 69512176 117340244 121646308 134103136 139024352 234680488 243292616 268206272 278048704 469360976 473551699 486585232 938721952 947103398 973170464 1877443904 1894206796 1946340928 3314861893 3788413592 6629723786 7576827184 13259447572 15153654368 26518895144 30307308736 53037790288 106075580576 212151161152