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212127812704 = 2559736532357
BaseRepresentation
bin1100010110001111001…
…1011000110001100000
3202021112112220101220201
43011203303120301200
511433414210001304
6241241123114544
721216503441353
oct3054363306140
9667475811821
10212127812704
1181a65690405
1235141212a54
1317007ab4a02
14a3a4a9029a
1557b80403a4
hex3163cd8c60

212127812704 has 96 divisors (see below), whose sum is σ = 431365163040. Its totient is φ = 102636859392.

The previous prime is 212127812683. The next prime is 212127812791. The reversal of 212127812704 is 407218721212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89997894 + ... + 90000250.

It is an arithmetic number, because the mean of its divisors is an integer number (4493387115).

Almost surely, 2212127812704 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 212127812704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215682581520).

212127812704 is an abundant number, since it is smaller than the sum of its proper divisors (219237350336).

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

212127812704 is a wasteful number, since it uses less digits than its factorization.

212127812704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The spelling of 212127812704 in words is "two hundred twelve billion, one hundred twenty-seven million, eight hundred twelve thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 59 73 118 146 236 292 472 584 653 944 1168 1306 1888 2336 2357 2612 4307 4714 5224 8614 9428 10448 17228 18856 20896 34456 37712 38527 47669 68912 75424 77054 95338 137824 139063 154108 172061 190676 278126 308216 344122 381352 556252 616432 688244 762704 1112504 1232864 1376488 1525408 1539121 2225008 2752976 2812471 3078242 4450016 5505952 5624942 6156484 10151599 11249884 12312968 20303198 22499768 24625936 40606396 44999536 49251872 81212792 89999072 90808139 112355833 162425584 181616278 224711666 324851168 363232556 449423332 726465112 898846664 1452930224 1797693328 2905860448 3595386656 6628994147 13257988294 26515976588 53031953176 106063906352 212127812704