Search a number
-
+
1218313021996 = 2274146112371861
BaseRepresentation
bin10001101110101001000…
…111010110101000101100
311022110200022220000110101
4101232221013112220230
5124430101113200441
62331404004120444
7154006634551510
oct21565107265054
94273608800411
101218313021996
1142a757a37614
1217814a696124
138ab6a6252b5
1442d76758140
1521a577c6231
hex11ba91d6a2c

1218313021996 has 96 divisors (see below), whose sum is σ = 2504837833344. Its totient is φ = 507610368000.

The previous prime is 1218313021957. The next prime is 1218313021999. The reversal of 1218313021996 is 6991203138121.

It is not an unprimeable number, because it can be changed into a prime (1218313021999) 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, 654654106 + ... + 654655966.

It is an arithmetic number, because the mean of its divisors is an integer number (26092060764).

Almost surely, 21218313021996 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 1218313021996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252418916672).

1218313021996 is an abundant number, since it is smaller than the sum of its proper divisors (1286524811348).

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

1218313021996 is a wasteful number, since it uses less digits than its factorization.

1218313021996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 1218313021996 in words is "one trillion, two hundred eighteen billion, three hundred thirteen million, twenty-one thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 41 82 164 287 461 574 922 1148 1237 1844 1861 2474 3227 3722 4948 6454 7444 8659 12908 13027 17318 18901 26054 34636 37802 50717 52108 75604 76301 101434 132307 152602 202868 264614 305204 355019 529228 534107 570257 710038 857921 1068214 1140514 1420076 1715842 2136428 2281028 2302057 3431684 3991799 4604114 6005447 7983598 9208228 12010894 15967196 16114399 23380537 24021788 32228798 35174761 46761074 64457596 70349522 93522148 94384337 140699044 163663759 188768674 246223327 327327518 377537348 492446654 654655036 660690359 984893308 1061248277 1321380718 2122496554 2642761436 4244993108 7428737939 14857475878 29714951756 43511179357 87022358714 174044717428 304578255499 609156510998 1218313021996