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1213460664 = 233134783997
BaseRepresentation
bin100100001010011…
…1111000010111000
310010120100012002120
41020110333002320
54441121220124
6320224401240
742033150123
oct11024770270
93116305076
101213460664
11572a6aa59
1229a476220
13164528280
14b72353ba
15717e8d79
hex4853f0b8

1213460664 has 128 divisors (see below), whose sum is σ = 3380106240. Its totient is φ = 360663552.

The previous prime is 1213460653. The next prime is 1213460681. The reversal of 1213460664 is 4660643121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1216614 + ... + 1217610.

It is an arithmetic number, because the mean of its divisors is an integer number (26407080).

Almost surely, 21213460664 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 1213460664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690053120).

1213460664 is an abundant number, since it is smaller than the sum of its proper divisors (2166645576).

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

1213460664 is a wasteful number, since it uses less digits than its factorization.

1213460664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1213460664 is about 34834.7622928591. The cubic root of 1213460664 is about 1066.6171627199.

The spelling of 1213460664 in words is "one billion, two hundred thirteen million, four hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 83 94 104 141 156 166 188 249 282 312 332 376 498 564 611 664 996 997 1079 1128 1222 1833 1992 1994 2158 2444 2991 3237 3666 3901 3988 4316 4888 5982 6474 7332 7802 7976 8632 11703 11964 12948 12961 14664 15604 23406 23928 25896 25922 31208 38883 46812 46859 50713 51844 77766 82751 93624 93718 101426 103688 140577 152139 155532 165502 187436 202852 248253 281154 304278 311064 331004 374872 405704 496506 562308 608556 609167 662008 993012 1075763 1124616 1217112 1218334 1827501 1986024 2151526 2436668 3227289 3655002 3889297 4303052 4873336 6454578 7310004 7778594 8606104 11667891 12909156 14620008 15557188 23335782 25818312 31114376 46671564 50560861 93343128 101121722 151682583 202243444 303365166 404486888 606730332 1213460664