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212942001760 = 2554132460671
BaseRepresentation
bin1100011001010001010…
…1010001011001100000
3202100122021221111022221
43012110111101121200
511442101123024020
6241454010040424
721245621102365
oct3062425213140
9670567844287
10212942001760
1182343232724
1235329a19114
1317107695097
14a440c7046c
15581476b6aa
hex3194551660

212942001760 has 48 divisors (see below), whose sum is σ = 515345628672. Its totient is φ = 83099315200.

The previous prime is 212942001743. The next prime is 212942001781. The reversal of 212942001760 is 67100249212.

It is a super-2 number, since 2×2129420017602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16223776 + ... + 16236895.

It is an arithmetic number, because the mean of its divisors is an integer number (10736367264).

Almost surely, 2212942001760 is an apocalyptic number.

212942001760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212942001760 is an abundant number, since it is smaller than the sum of its proper divisors (302403626912).

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

212942001760 is a wasteful number, since it uses less digits than its factorization.

212942001760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32460727 (or 32460719 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 212942001760 in words is "two hundred twelve billion, nine hundred forty-two million, one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 32460671 64921342 129842684 162303355 259685368 324606710 519370736 649213420 1038741472 1298426840 1330887511 2596853680 2661775022 5193707360 5323550044 6654437555 10647100088 13308875110 21294200176 26617750220 42588400352 53235500440 106471000880 212942001760