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212668657000704 = 283367459224401
BaseRepresentation
bin110000010110101111000111…
…110000010110000100000000
31000212222220222100211020001000
4300112233013300112010000
5210333330402143010304
62032150344323412000
762536542401135052
oct6026570760260400
91025886870736030
10212668657000704
11618432a8686543
121ba2873ab24000
139188750741868
143a73309d878d2
15198beee5a7939
hexc16bc7c16100

212668657000704 has 144 divisors (see below), whose sum is σ = 638285180827840. Its totient is φ = 69831499161600.

The previous prime is 212668657000699. The next prime is 212668657000717. The reversal of 212668657000704 is 407000756866212.

It is a happy number.

212668657000704 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 68 + 6 + 570 + 0 + 0 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229149097 + ... + 230075304.

Almost surely, 2212668657000704 is an apocalyptic number.

212668657000704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212668657000704 is an abundant number, since it is smaller than the sum of its proper divisors (425616523827136).

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

212668657000704 is an equidigital number, since it uses as much as digits as its factorization.

212668657000704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459224493 (or 459224473 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 212668657000704 in words is "two hundred twelve trillion, six hundred sixty-eight billion, six hundred fifty-seven million, seven hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 128 134 144 192 201 216 256 268 288 384 402 432 536 576 603 768 804 864 1072 1152 1206 1608 1728 1809 2144 2304 2412 3216 3456 3618 4288 4824 6432 6912 7236 8576 9648 12864 14472 17152 19296 25728 28944 38592 51456 57888 77184 115776 154368 231552 463104 459224401 918448802 1377673203 1836897604 2755346406 3673795208 4133019609 5510692812 7347590416 8266039218 11021385624 12399058827 14695180832 16532078436 22042771248 24798117654 29390361664 30768034867 33064156872 44085542496 49596235308 58780723328 61536069734 66128313744 88171084992 92304104601 99192470616 117561446656 123072139468 132256627488 176342169984 184608209202 198384941232 246144278936 264513254976 276912313803 352684339968 369216418404 396769882464 492288557872 529026509952 553824627606 738432836808 793539764928 830736941409 984577115744 1058053019904 1107649255212 1476865673616 1587079529856 1661473882818 1969154231488 2215298510424 2953731347232 3174159059712 3322947765636 3938308462976 4430597020848 5907462694464 6645895531272 7876616925952 8861194041696 11814925388928 13291791062544 17722388083392 23629850777856 26583582125088 35444776166784 53167164250176 70889552333568 106334328500352 212668657000704