Search a number
-
+
212007927696 = 243191934212861
BaseRepresentation
bin1100010101110010101…
…0000011111110010000
3202021020012022121121020
43011130222003332100
511433143012141241
6241221201355440
721213516436365
oct3053452037620
9667205277536
10212007927696
1181a03a47a94
1235109038b80
1316cb8ccb236
14a392ba446c
1557ac75db66
hex315ca83f90

212007927696 has 160 divisors (see below), whose sum is σ = 581079415680. Its totient is φ = 66421555200.

The previous prime is 212007927629. The next prime is 212007927697. The reversal of 212007927696 is 696729700212.

It is a super-2 number, since 2×2120079276962 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212007927697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74101306 + ... + 74104166.

It is an arithmetic number, because the mean of its divisors is an integer number (3631746348).

Almost surely, 2212007927696 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 212007927696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290539707840).

212007927696 is an abundant number, since it is smaller than the sum of its proper divisors (369071487984).

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

212007927696 is a wasteful number, since it uses less digits than its factorization.

212007927696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 212007927696 in words is "two hundred twelve billion, seven million, nine hundred twenty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 193 228 304 386 421 456 579 772 842 912 1158 1263 1544 1684 2316 2526 2861 3088 3368 3667 4632 5052 5722 6736 7334 7999 8583 9264 10104 11001 11444 14668 15998 17166 20208 22002 22888 23997 29336 31996 34332 44004 45776 47994 54359 58672 63992 68664 81253 88008 95988 108718 127984 137328 162506 163077 176016 191976 217436 243759 325012 326154 383952 434872 487518 552173 650024 652308 869744 975036 1104346 1204481 1300048 1304616 1543807 1656519 1950072 2208692 2408962 2609232 3087614 3313038 3613443 3900144 4417384 4631421 4817924 6175228 6626076 7226886 8834768 9262842 9635848 10491287 12350456 13252152 14453772 18525684 19271696 20982574 22885139 24700912 26504304 28907544 31473861 37051368 41965148 45770278 57815088 62947722 68655417 74102736 83930296 91540556 125895444 137310834 167860592 183081112 232464833 251790888 274621668 366162224 464929666 503581776 549243336 697394499 929859332 1098486672 1394788998 1859718664 2789577996 3719437328 4416831827 5579155992 8833663654 11158311984 13250495481 17667327308 26500990962 35334654616 53001981924 70669309232 106003963848 212007927696