Search a number
-
+
213485326255632 = 24319373918768311
BaseRepresentation
bin110000100010100111101101…
…000010010100011000010000
31000222212222221110002211222210
4300202213231002110120100
5210440220422010140012
62034013445512032120
762652543254231004
oct6042475502243020
91028788843084883
10213485326255632
1162028689136182
121bb3aa77992640
13921777000a692
143aa0a600d4704
1519a339aedd23c
hexc229ed094610

213485326255632 has 160 divisors (see below), whose sum is σ = 582158536453120. Its totient is φ = 67227375029760.

The previous prime is 213485326255589. The next prime is 213485326255633. The reversal of 213485326255632 is 236552623584312.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (213485326255633) 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, 3125162757 + ... + 3125231067.

It is an arithmetic number, because the mean of its divisors is an integer number (3638490852832).

Almost surely, 2213485326255632 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 213485326255632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291079268226560).

213485326255632 is an abundant number, since it is smaller than the sum of its proper divisors (368673210197488).

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

213485326255632 is a wasteful number, since it uses less digits than its factorization.

213485326255632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77901 (or 77895 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 57.

The spelling of 213485326255632 in words is "two hundred thirteen trillion, four hundred eighty-five billion, three hundred twenty-six million, two hundred fifty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 373 456 746 912 1119 1492 2238 2984 4476 5968 7087 8952 9187 14174 17904 18374 21261 27561 28348 36748 42522 55122 56696 68311 73496 85044 110244 113392 136622 146992 170088 174553 204933 220488 273244 340176 349106 409866 440976 523659 546488 698212 819732 1047318 1092976 1297909 1396424 1639464 2094636 2595818 2792848 3278928 3426751 3893727 4189272 5191636 6853502 7787454 8378544 10280253 10383272 13707004 15574908 20560506 20766544 25480003 27414008 31149816 41121012 50960006 54828016 62299632 65108269 76440009 82242024 101920012 130216538 152880018 164484048 195324807 203840024 260433076 305760036 390649614 407680048 484120057 520866152 611520072 627573157 781299228 968240114 1041732304 1223040144 1255146314 1452360171 1562598456 1882719471 1936480228 2510292628 2904720342 3125196912 3765438942 3872960456 5020585256 5809440684 7530877884 7745920912 10041170512 11618881368 11923889983 15061755768 23237762736 23847779966 30123511536 35771669949 47695559932 71543339898 95391119864 143086679796 190782239728 234084787561 286173359592 468169575122 572346719184 702254362683 936339150244 1404508725366 1872678300488 2809017450732 3745356600976 4447610963659 5618034901464 8895221927318 11236069802928 13342832890977 17790443854636 26685665781954 35580887709272 53371331563908 71161775418544 106742663127816 213485326255632