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212071280960 = 2657118606789
BaseRepresentation
bin1100010110000001101…
…1101111000101000000
3202021101121112021221102
43011200123233011000
511433310221442320
6241231343313532
721215216100650
oct3054033570500
9667347467842
10212071280960
1181a36789260
12351262ab8a8
1316cc9180586
14a39b376360
1557b30c5175
hex31606ef140

212071280960 has 112 divisors (see below), whose sum is σ = 629603902080. Its totient is φ = 66100131840.

The previous prime is 212071280923. The next prime is 212071280987. The reversal of 212071280960 is 69082170212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4278755 + ... + 4328034.

Almost surely, 2212071280960 is an apocalyptic number.

212071280960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212071280960 is an abundant number, since it is smaller than the sum of its proper divisors (417532621120).

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

212071280960 is a wasteful number, since it uses less digits than its factorization.

212071280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8606824 (or 8606814 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 212071280960 in words is "two hundred twelve billion, seventy-one million, two hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 704 770 880 1120 1232 1540 1760 2240 2464 3080 3520 4928 6160 12320 24640 8606789 17213578 34427156 43033945 60247523 68854312 86067890 94674679 120495046 137708624 172135780 189349358 240990092 275417248 301237615 344271560 378698716 473373395 481980184 550834496 602475230 662722753 688543120 757397432 946746790 963960368 1204950460 1325445506 1377086240 1514794864 1893493580 1927920736 2409900920 2650891012 2754172480 3029589728 3313613765 3786987160 3855841472 4819801840 5301782024 6059179456 6627227530 7573974320 9639603680 10603564048 13254455060 15147948640 19279207360 21207128096 26508910120 30295897280 42414256192 53017820240 106035640480 212071280960