Search a number
-
+
12198156103744 = 261315679356251
BaseRepresentation
bin1011000110000001101011…
…0000101111000001000000
31121012010120110202011010221
42301200122300233001000
53044323310430304434
641535431111032424
72366200452055462
oct261403260570100
947163513664127
1012198156103744
11398323312a4a6
12145010196b714
136a63869bc890
14302572c3c132
1516247e56a2b4
hexb181ac2f040

12198156103744 has 56 divisors (see below), whose sum is σ = 26084332375808. Its totient is φ = 5626324800000.

The previous prime is 12198156103711. The next prime is 12198156103751. The reversal of 12198156103744 is 44730165189121.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 12198156103691 and 12198156103700.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3374382 + ... + 5981869.

It is an arithmetic number, because the mean of its divisors is an integer number (465791649568).

It is a 1-persistent number, because it is pandigital, but 2⋅12198156103744 = 24396312207488 is not.

Almost surely, 212198156103744 is an apocalyptic number.

It is an amenable number.

12198156103744 is an abundant number, since it is smaller than the sum of its proper divisors (13886176272064).

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

12198156103744 is a wasteful number, since it uses less digits than its factorization.

12198156103744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9357843 (or 9357833 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 12198156103744 in words is "twelve trillion, one hundred ninety-eight billion, one hundred fifty-six million, one hundred three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1567 3134 6268 12536 20371 25072 40742 50144 81484 100288 162968 325936 651872 1303744 9356251 18712502 37425004 74850008 121631263 149700016 243262526 299400032 486525052 598800064 973050104 1946100208 3892200416 7784400832 14661245317 29322490634 58644981268 117289962536 190596189121 234579925072 381192378242 469159850144 762384756484 938319700288 1524769512968 3049539025936 6099078051872 12198156103744