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212202671648 = 251146732
BaseRepresentation
bin1100010110100001000…
…0111100111000100000
3202021201202202122002012
43011220100330320200
511434042340443043
6241252355412052
721221402643122
oct3055020747040
9667652678065
10212202671648
1181aa3970000
12351622b4028
131701a465046
14a3b09b9212
1557be8caa18
hex316843ce20

212202671648 has 90 divisors (see below), whose sum is σ = 460232407845. Its totient is φ = 96312437760.

The previous prime is 212202671627. The next prime is 212202671669. The reversal of 212202671648 is 846176202212.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (212202671627) and next prime (212202671669).

It can be written as a sum of positive squares in 2 ways, for example, as 205669506064 + 6533165584 = 453508^2 + 80828^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=325732.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 315308240 + ... + 315308912.

Almost surely, 2212202671648 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 212202671648

212202671648 is an abundant number, since it is smaller than the sum of its proper divisors (248029736197).

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

212202671648 is an frugal number, since it uses more digits than its factorization.

212202671648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 212202671648 in words is "two hundred twelve billion, two hundred two million, six hundred seventy-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 673 968 1331 1346 1936 2662 2692 3872 5324 5384 7403 10648 10768 14641 14806 21296 21536 29282 29612 42592 58564 59224 81433 117128 118448 162866 234256 236896 325732 452929 468512 651464 895763 905858 1302928 1791526 1811716 2605856 3583052 3623432 4982219 7166104 7246864 9853393 9964438 14332208 14493728 19706786 19928876 28664416 39413572 39857752 54804409 78827144 79715504 109608818 157654288 159431008 219217636 315308576 438435272 602848499 876870544 1205696998 1753741088 2411393996 4822787992 6631333489 9645575984 13262666978 19291151968 26525333956 53050667912 106101335824 212202671648