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212071150368 = 25327119563093
BaseRepresentation
bin1100010110000001101…
…1001111001100100000
3202021101121021122210200
43011200123033030200
511433310203302433
6241231340425200
721215215015140
oct3054033171440
9667347248720
10212071150368
1181a366aa130
1235126248200
1316cc9135cbc
14a39b340920
1557b309b613
hex31606cf320

212071150368 has 144 divisors (see below), whose sum is σ = 751888702656. Its totient is φ = 55083409920.

The previous prime is 212071150351. The next prime is 212071150397. The reversal of 212071150368 is 863051170212.

212071150368 is a `hidden beast` number, since 2 + 1 + 20 + 71 + 1 + 503 + 68 = 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4759371 + ... + 4803722.

It is an arithmetic number, because the mean of its divisors is an integer number (5221449324).

Almost surely, 2212071150368 is an apocalyptic number.

212071150368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212071150368 is an abundant number, since it is smaller than the sum of its proper divisors (539817552288).

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

212071150368 is a wasteful number, since it uses less digits than its factorization.

212071150368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9563127 (or 9563116 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 212071150368 in words is "two hundred twelve billion, seventy-one million, one hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 9563093 19126186 28689279 38252372 57378558 66941651 76504744 86067837 105194023 114757116 133883302 153009488 172135674 200824953 210388046 229514232 267766604 306018976 315582069 344271348 401649906 420776092 459028464 535533208 602474859 631164138 688542696 736358161 803299812 841552184 918056928 946746207 1071066416 1204949718 1262328276 1377085392 1472716322 1606599624 1683104368 1893492414 2142132832 2209074483 2409899436 2524656552 2754170784 2945432644 3213199248 3366208736 3786984828 4418148966 4819798872 5049313104 5890865288 6426398496 6627223449 7573969656 8836297932 9639597744 10098626208 11781730576 13254446898 15147939312 17672595864 19279195488 23563461152 26508893796 30295878624 35345191728 53017787592 70690383456 106035575184 212071150368