Search a number
-
+
1018203951072 = 253711137744041
BaseRepresentation
bin11101101000100011010…
…11110100111111100000
310121100011101100221210010
432310101223310333200
5113140240202413242
62055431220204520
7133364020532460
oct16642153647740
93540141327703
101018203951072
113628aa649860
12145402539740
1375029837919
14373d1da3ba0
151b7449a989c
hexed11af4fe0

1018203951072 has 96 divisors (see below), whose sum is σ = 3332303864064. Its totient is φ = 264468556800.

The previous prime is 1018203951067. The next prime is 1018203951097. The reversal of 1018203951072 is 2701593028101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1018203951072.

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, 68864629 + ... + 68879412.

It is an arithmetic number, because the mean of its divisors is an integer number (34711498584).

Almost surely, 21018203951072 is an apocalyptic number.

1018203951072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1018203951072 is an abundant number, since it is smaller than the sum of its proper divisors (2314099912992).

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

1018203951072 is a wasteful number, since it uses less digits than its factorization.

1018203951072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137744072 (or 137744064 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

Adding to 1018203951072 its reverse (2701593028101), we get a palindrome (3719796979173).

The spelling of 1018203951072 in words is "one trillion, eighteen billion, two hundred three million, nine hundred fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 137744041 275488082 413232123 550976164 826464246 964208287 1101952328 1515184451 1652928492 1928416574 2203904656 2892624861 3030368902 3305856984 3856833148 4407809312 4545553353 5785249722 6060737804 6611713968 7713666296 9091106706 10606291157 11570499444 12121475608 13223427936 15427332592 18182213412 21212582314 23140998888 24242951216 30854665184 31818873471 36364426824 42425164628 46281997776 48485902432 63637746942 72728853648 84850329256 92563995552 127275493884 145457707296 169700658512 254550987768 339401317024 509101975536 1018203951072